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Rich dynamics of a three-tiered anaerobic food-web in a chemostat with multiple substrate inflow Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-19 Szymon Sobieszek; Matthew J. Wade; Gail S. K. Wolkowicz
The mathematical analysis of a three-tiered food-web describing anaerobic chlorophenol mineralisation has suggested the emergence of interesting dynamical behaviour through its specific ecological interactions, which include competition, syntrophy, and product inhibition. Previous numerical analyses have revealed the possibility of a Hopf bifurcation at the interior equilibrium as well as the role
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A new dynamical modeling SEIR with global analysis applied to the real data of spreading COVID-19 in Saudi Arabia Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-16 Hamdy M. Youssef; Najat A. Alghamdi; Magdy A. Ezzat; Alaa A. El-Bary; Ahmed M. Shawky
SEIR model is a widely used and acceptable model to distinguish the outbreak of the COVID-19 epidemic in many countries. In the current work, a new proposed SEIR model as a mathematical model for the outbreak of novel coronaviruses COVID-19 will be constructed. The new proposed SEIR pandemic model provides a new vision for evaluations and management of the epidemic of COVID-19 infection. For mathematical
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Bimodality in gene expression without feedback: from Gaussian white noise to log-normal coloured noise Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-16 Gerardo Aquino; Andrea Rocco
Extrinsic noise-induced transitions to bimodal dynamics have been largely investigated in a variety of chemical, physical, and biological systems. In the standard approach in physical and chemical systems, the key properties that make these systems mathematically tractable are that the noise appears linearly in the dynamical equations, and it is assumed Gaussian and white. In biology, the Gaussian
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Bifurcations and hybrid control in a 3×3 discrete-time predator-prey model Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-16 Abdul Qadeer Khan; Azhar Zafar Kiyani; Imtiaz Ahmad
In this paper, we explore the bifurcations and hybrid control in a $3\times3$ discrete-time predator-prey model in the interior of $\mathbb{R}_+^3$. It is proved that $3\times3$ model has four boundary fixed points: $P_{000}(0,0,0)$, $P_{0y0}\left(0,\frac{r-1}{r},0\right)$, $P_{0yz}\left(0,\frac{d}{f},\frac{rf-f-dr}{cf}\right)$, $P_{x0z}\left(\frac{d}{e},0,\frac{a}{b}\right)$, and the unique positive
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Surface electromyography signal denoising via EEMD and improved wavelet thresholds Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-16 Ziyang Sun; Xugang Xi; Changmin Yuan; Yong Yang; Xian Hua
The acquisition of good surface electromyography (sEMG) is an important prerequisite for correct and timely control of prosthetic limb movements. sEMG is nonlinear, nonstationary, and vulnerable against noise and a new sEMG denoising method using ensemble empirical mode decomposition (EEMD) and wavelet threshold is hence proposed to remove the random noise from the sEMG signal. With this method, the
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A fuzzy identification method for persistent scatterers in PSInSAR technology Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-15 Wanli Liu; Qiuzhao Zhang; Yueying Zhao
Persistent Scatterer SAR Interferometry (PSInSAR) is known as one of the most effective technique for monitoring and analyzing ground deformation. It is a key step that how to identify Persistent Scatterers (PS) effectively and automatically from time-series SAR images. In the past research, one pixel will be classified to “PS” set or “no-PS” set clearly by one or more threshold rules for PS features
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Mathematical analysis for COVID-19 resurgence in the contaminated environment Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-12 Haonan Zhong; Wendi Wang
A mathematical model is proposed that incorporates the key routes of COVID-19 resurgence: human-to-human transmission and indirect transmission by inhaling infectious aerosols or contacting public facilities with the virus. The threshold condition for the disease invasion is established, and the relationships among the basic reproduction number, peak value and final size are formulated. The model is
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A purely mechanical model with asymmetric features for early morphogenesis of rod-shaped bacteria micro-colony Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-12 Marie Doumic; Sophie Hecht; Diane Peurichard
To model the morphogenesis of rod-shaped bacterial micro-colony, several individual-based models have been proposed in the biophysical literature. When studying the shape of micro-colonies, most models present interaction forces such as attraction or filial link. In this article, we propose a model where the bacteria interact only through non-overlapping constraints. We consider the asymmetry of the
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A HRGO approach for resilience enhancement service composition and optimal selection in cloud manufacturing Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-09 Hao Song; Xiaonong Lu; Xu Zhang; Xiaoan Tang; Qiang Zhang
Cloud manufacturing (CM) establishes a collaborative manufacturing services chain among dispersed producers, which enables the efficient satisfaction of personalized manufacturing requirements. To further strengthen this effect, the manufacturing service composition and optimal selection (SCOS) in CM, as a NP-hard combinatorial problem, is a crucial issue. Quality of service (QoS) attributes of manufacturing
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A nonlinear multi-population behavioral model to assess the roles of education campaigns, random supply of aids, and delayed ART treatment in HIV/AIDS epidemics Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-09 Divine Wanduku
The successful reduction in prevalence rates of HIV in many countries is attributed to control measures such as information and education campaigns (IEC), antiretroviral therapy (ART), and national, multinational and multilateral support providing official developmental assistance (ODAs) to combat HIV. However, control of HIV epidemics can be interrupted by limited random supply of ODAs, high poverty
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Using high-dimensional features for high-accuracy pulse diagnosis Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-10-09 Ching-Han Huang; Yu-Min Wang; Shana Smith
Accurate pulse diagnosis is often based on extensive clinical experience. Recently, modern computer-aided pulse diagnostic methods have been developed to help doctors to quickly determine patients’ physiological conditions. Most pulse diagnostic methods used low-dimensional feature vectors to classify pulse types. Therefore, some important but subtle pulse information might be ignored. In this study
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Application of improved ant colony optimization in mobile robot trajectory planning Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-30 Xue Li; Lei Wang
Under the condition of known static environment and dynamic environment, an improved ant colony optimization is proposed to solve the problem of slow convergence, easily falling into local optimal solution, deadlock phenomenon and other issues when the ant colony optimization is constructed. Based on the traditional ant colony optimization, the ant colony search ability at the initial moment is strengthened
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Local dynamics and coexistence of predator–prey model with directional dispersal of predator Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-30 Kwangjoong Kim; Wonhyung Choi
In this paper, we study the effect of directional dispersal of a predator on a predator– prey model. The prey is assumed to have traits making it undetectable to the predator and difficult to chase the prey directly. Directional dispersal of the predator is described when the predator has learned the high hunting efficiency in certain areas, thereby dispersing toward these areas instead of directly
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Analysis of a multiscale HIV-1 model coupling within-host viral dynamics and between-host transmission dynamics Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-30 Yuyi Xue; Yanni Xiao
There are many challenges to constitute the linkage from the macroscale to the microscale and analyze the multiscale model. We proposed a bidirectional coupling model with standard incidence which includes the interaction of between-host transmission dynamics and within-host viral dynamics, and investigated the dynamic behaviors of the multiscale system on two time-scales. We found that the multiscale
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Approximation of invariant measure for a stochastic population model with Markov chain and diffusion in a polluted environment Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-29 Ting Kang; Yanyan Du; Ming Ye; Qimin Zhang
In the paper, we propose a novel stochastic population model with Markov chain and diffusion in a polluted environment. Under the condition that the diffusion coefficient satisfies the local Lipschitz condition, we prove the existence and uniqueness of invariant measure for the model. Moreover, we also discuss the existence and uniqueness of numerical invariance measure for stochastic population model
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A heterogeneous parasitic-mutualistic model of mistletoes and birds on a periodically evolving domain Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-28 Jie Wang; Jian Wang; Jiafeng Cao
In this paper, a parasitic-mutualistic model of mistletoes and birds defined in a heterogneous and periodically evolving domain is comprehensively investigated to reveal some new dynamical phenomena caused by the domain evolution. By establishing the core spatial-temporal risk index R0B and R0M for birds population and mistletoes-birds population, respectively, the fundamental extinction, persistence
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A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-27 Ghulam Mustafa; Dumitru Baleanu; Syeda Tehmina Ejaz; Kaweeta Anjum; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara
In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative algorithm for the solution of 2nd order nonlinear singularly per-turbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd
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The food seeking behavior of slime mold: a macroscopic approach Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-28 Simone Göttlich; Stephan Knapp; Dylan Weber
Starting from a particle model we derive a macroscopic aggregation-diffusion equation for the evolution of slime mold under the assumption of propagation of chaos in the large particle limit. We analyze properties of the macroscopic model in the stationary case and study the behavior of the slime mold between food sources. The efficient numerical simulation of the aggregation-diffusion equation allows
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Optimized packing multidimensional hyperspheres: a unified approach Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-28 Yuriy Stoyan; Georgiy Yaskov; Tatiana Romanova; Igor Litvinchev; Sergey Yakovlev; José Manuel Velarde Cantú
In this paper an optimized multidimensional hyperspheres packing problem (HPP) is considered for a bounded container. Additional constraints, such as prohibited zones in the container or minimal allowable distances between spheres can also be taken into account. Containers bounded by hyper- (spheres, cylinders, planes) are considered. Placement constraints (non-intersection, containment and distant
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Spatial general autoregressive model-based image interpolation accommodates arbitrary scale factors Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-28 Yuntao Hu; Fei Hao; Chao Meng; Lili Sun; Dashuai Xu; Tianqi Zhang
This paper proposed a novel image interpolation algorithm with an arbitrary upscaling factor based on the spatial general autoregressive model. First, to accommodate arbitrary scale factors, a non-integer mapping method was modulated into the spatial general autoregressive model, which was employed to model the piecewise stationary pattern with a higher description capacity than autoregressive models
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Worry less about the algorithm, more about the sequence of events Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-28 Farrokh Alemi
Background: Many algorithms exist for learning network structure and parameters from data. Some of these algorithms include Grow Shrink, Incremental Association Markov Blanket, IAMB, Fast IAMB, and Interleaved IAMB, Hill Climbing, Restricted Maximization and Maximum-Minimum Hill Climbing. These algorithms optimize the fit to the data, while ignoring the order of occurrences of the variables in the
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Generating patient-specific virtual tumor populations with reaction-diffusion models and molecular imaging data Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-25 Nick Henscheid
The use of mathematical tumor growth models coupled to noisy imaging data has been suggested as a possible component in the push towards precision medicine. We discuss the generation of population and patient-specific virtual populations in this context, providing in silico experiments to demonstrate how intra- and inter-patient heterogeneity can be estimated by applying rigorous statistical procedures
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Can computers conceive the complexity of cancer to cure it? Using artificial intelligence technology in cancer modelling and drug discovery Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-25 Rachael C. Adams; Behnam Rashidieh
Drug discovery and the development of safe and effective therapeutics is an intricate procedure, further complicated in the context of cancer research by the inherent heterogeneity and complexity of the disease. To address the difficulties of identifying, validating, and pursuing a promising drug target, artificial intelligence (AI) technologies including machine learning (ML) have been adopted at
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Traveling waves in delayed reaction-diffusion equations in biology Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-25 Sergei Trofimchuk; Vitaly Volpert
This paper represents a literature review on traveling waves described by delayed reactiondiffusion (RD, for short) equations. It begins with the presentation of different types of equations arising in applications. The main results on wave existence and stability are presented for the equations satisfying the monotonicity condition that provides the applicability of the maximum and comparison principles
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A Fokker-Planck approach to the study of robustness in gene expression Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-24 Pierre Degond; Maxime Herda; Sepideh Mirrahimi
We study several Fokker-Planck equations arising from a stochastic chemical kinetic system modeling a gene regulatory network in biology. The densities solving the Fokker-Planck equations describe the joint distribution of the mRNA and µRNA content in a cell. We provide theoretical and numerical evidence that the robustness of the gene expression is increased in the presence of µRNA. At the mathematical
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Stability of an adaptive immunity delayed HIV infection model with active and silent cell-to-cell spread Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-24 A. M. Elaiw; N. H. AlShamrani; A. D. Hobiny
This paper investigates an adaptive immunity HIV infection model with three types of distributed time delays. The model describes the interaction between healthy CD4+T cells, silent infected cells, active infected cells, free HIV particles, Cytotoxic T lymphocytes (CTLs) and antibodies. The healthy CD4+T cells can be infected when they contacted by free HIV particles or silent infected cells or active
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Strain-induced packing transition of Ih Cun@Ag55-n(n=0, 1, 13, 43) clusters from atomic simulations Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-23 Jinhan Liu; Lin Zhang
Strain is of significance in packing transition, but the key structural information for metal nanoclusters is still limited. Atomic simulations using molecular dynamics (MD) were performed to explore the microscopic details of atomic packing transition in four icosahedral (Ih) Cun@Ag55-n clusters without or with different number of Cu core atoms. Analytical tools were used to demonstrate the packing
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Optimal control on COVID-19 eradication program in Indonesia under the effect of community awareness Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-23 Dipo Aldila; Meksianis Z. Ndii; Brenda M. Samiadji
A total of more than 27 million confirmed cases of the novel coronavirus outbreak, also known as COVID-19, have been reported as of September 7, 2020. To reduce its transmission, a number of strategies have been proposed. In this study, mathematical models with nonpharmaceutical and pharmaceutical interventions were formulated and analyzed. The first model was formulated without the inclusion of community
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The hybrid method based on ant colony optimization algorithm in multiple factor analysis of the environmental impact of solar cell technologies Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-23 Bo Dong; Alexey Luzin; Dmitry Gura
The increasing demand for solar energy drives the mass production of diverse photovoltaic (PV) systems and, consequently, the growth of used solar panels and their environmental footprint. This study applied a new hybrid optimization method based on particle swarm and ant colony optimization algorithms to solve the problems of PV module toxicity. The Weibull distribution function was used to measure
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A-EMCS for PHEV based on real-time driving cycle prediction and personalized travel characteristics Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-23 Yuanbin Yu; Junyu Jiang; Pengyu Wang; Jinke Li
Energy management plays an important role in improving the fuel economy of plug-in hybrid electric vehicles (PHEV). Therefore, this paper proposes an improved adaptive equivalent consumption minimization strategy (A-ECMS) based on long-term target driving cycle recognition and short-term vehicle speed prediction, and adapt it to personalized travel characteristics. Two main contributions have been
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Study of performance criteria of serial configuration of two chemostats Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-22 Manel Dali Youcef; Alain Rapaport; Tewfik Sari
This paper deals with thorough analysis of serial configurations of two chemostats. We establish an in-depth mathematical study of all possible steady states, and we compare the performances of the two serial interconnected chemostats with the performances of a single one. The comparison is evaluated under three different criteria. We analyze, at steady state, the minimization of the output substrate
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A Newton-like iterative method implemented in the DelPhi for solving the nonlinear Poisson-Boltzmann equation Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-21 Chuan Li; Mark McGowan; Emil Alexov; Shan Zhao
DelPhi is a popular scientific program which numerically solves the Poisson-Boltzmann equation (PBE) for electrostatic potentials and energies of biomolecules immersed in water via finite difference method. It is well known for its accuracy, reliability, flexibility, and efficiency. In this work, a new edition of DelPhi that uses a novel Newton-like method to solve the nonlinear PBE, in addition to
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Lifting mobility restrictions and the effect of superspreading events on the short-term dynamics of COVID-19 Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-18 Mario Santana-Cibrian; Manuel A. Acuña-Zegarra; Jorge X. Velasco-Hernandez
SARS-CoV-2 has now infected 15 million people and produced more than six hundred thousand deaths around the world. Due to high transmission levels, many governments implemented social distancing and confinement measures with different levels of required compliance to mitigate the COVID-19 epidemic. In several countries, these measures were effective, and it was possible to flatten the epidemic curve
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Competitive exclusion in a DAE model for microbial electrolysis cells Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-16 Harry J. Dudley; Zhiyong Jason Ren; David M. Bortz
Microbial electrolysis cells (MECs) are devices that employ electroactive bacteria to perform extracellular electron transfer, enabling hydrogen generation from biodegradable substrates. In our previous work, we developed and analyzed a differential-algebraic equation (DAE) model for MECs. The model resembles a chemostat or continuous stirred tank reactor (CSTR). It consists of ordinary differential
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Brain tumor classification in MRI image using convolutional neural network Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-15 Hassan Ali Khan; Wu Jue; Muhammad Mushtaq; Muhammad Umer Mushtaq
Brain tumor is a severe cancer disease caused by uncontrollable and abnormal partitioning of cells. Recent progress in the field of deep learning has helped the health industry in Medical Imaging for Medical Diagnostic of many diseases. For Visual learning and Image Recognition, task CNN is the most prevalent and commonly used machine learning algorithm. Similarly, in our paper, we introduce the convolutional
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Transmission dynamics of Zika virus incorporating harvesting Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-15 Zongmin Yue; Fauzi Mohamed Yusof; Sabarina Shafie
In this paper, we establish a ZIKV model and investigate the transmission dynamics of ZIKV with two types of harvesting: proportional harvesting and constant harvesting, and give the stability of the steady states of both disease-free and endemic equilibrium, analyze the effect of harvesting on ZIKV transmission dynamics via numerical simulation. We find that proportional harvesting strategy can eliminate
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Global analysis and optimal harvesting for a hybrid stochastic phytoplankton-zooplankton-fish model with distributed delays Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-14 Yuanpei Xia; Weisong Zhou; Zhichun Yang
In this paper, we formulate a phytoplankton-zooplankton-fish model with distributed delays and hybrid stochastic noises involving Brownian motion and Markov chain, and propose an optimal harvesting problem pursuing the maximum of total economic income. By global analysis in terms of some system parameters, we investigate the dynamical behaviors on the well-posedness, bounded- ness, persistence, extinction
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Absence of convection in solid tumors caused by raised interstitial fluid pressure severely limits success of chemotherapy—a numerical study in cancers Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-14 Bertin Hoffmann; Udo Schumacher; Gero Wedemann
In comparison with lymphomas and leukemias, chemotherapy of solid neoplasms, i.e., cancer, has much more limited success in curing the patient. This lack of efficacy of chemotherapy has been attributed to increased interstitial fluid pressure within cancers, which obstructs convection and only permits diffusion of oxygen and nutrients about 100 μm from blood vessels. As diffusion is limited to this
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Dynamics of an epidemic model with relapse over a two-patch environment Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-15 Dongxue Yan; Xingfu Zou
In this paper, with the assumption that infectious individuals, once recovered for a period of fixed length, will relapse back to the infectious class, we derive an epidemic model for a population living in a two-patch environment (cities, towns, or countries, etc.). The model is given by a system of delay differential equations with a fixed delay accounting for the fixed constant relapse time and
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Analyzing the effect of duration on the daily new cases of COVID-19 infections and deaths using bivariate Poisson regression: a marginal conditional approach Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-15 Rafiqul Chowdhury; Gary Sneddon; M. Tariqul Hasan
The whole world is devastated by the impact of the COVID-19 pandemic. The socioeconomic and other effects of COVID-19 on people are visible in all echelons of society. The main goal of countries is to stop the spreading of this pandemic by reducing the COVID-19 related new cases and deaths. In this paper, we analyzed the correlated count outcomes, daily new cases, and fatalities, and assessed the impact
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A consumer-resource competition model with a state-dependent delay and stage-structured consumer species Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-14 Yan Wang; Xianning Liu; Yangjiang Wei
In this paper, a new consumer-resource competition model with a state-dependent maturity delay is developed, which incorporates one resource species and two stage-structured consumer species. The main innovation is that the model directly manifests the relationship between resources and maturity time of consumers through a correction term, $1-\tau'(x(t))x'(t)$. Firstly, the well-posedness of the solution
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Soft pre-rough sets and its applications in decision making Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-14 M. El Sayed; Abdul Gawad A. Q. Al Qubati; M. K. El-Bably
Soft rough set model represents a different mathematical model to which many real-life data can be connected. In fact, this theory represents a link between soft set and rough set theories. The main goal of the present paper is to introduce a new approach to modify and generalize soft rough sets. We are discussing and exploring the basic properties for these approaches. In addition, we use the suggested
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Consensus-based global optimization with personal best Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-11 Claudia Totzeck; Marie-Therese Wolfram
In this paper we propose a variant of a consensus-based global optimization (CBO) method that uses personal best information in order to compute the global minimum of a non-convex, locally Lipschitz continuous function. The proposed approach is motivated by the original particle swarming algorithms, in which particles adjust their position with respect to the personal best, the current global best
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Teaching learning-based whale optimization algorithm for multi-layer perceptron neural network training Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-10 Yongquan Zhou; Yanbiao Niu; Qifang Luo; Ming Jiang
This paper presents an improved teaching learning-based whale optimization algorithm (TSWOA) used the simplex method. First of all, the combination of WOA algorithm and teaching learning-based algorithm not only achieves a better balance between exploration and exploitation of WOA, but also makes whales have self-learning ability from the biological background, and greatly enriches the theory of the
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Mathematical modeling of COVID-19 transmission: the roles of intervention strategies and lockdown Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-10 Sarita Bugalia; Vijay Pal Bajiya; Jai Prakash Tripathi; Ming-Tao Li; Gui-Quan Sun
An outbreak of rapidly spreading coronavirus established human to human transmission and now became a pandemic across the world. The new confirmed cases of infected individuals of COVID-19 are increasing day by day. Therefore, the prediction of infected individuals has become of utmost important for health care arrangements and to control the spread of COVID-19. In this study, we propose a compartmental
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Discrete-time predator-prey model with flip bifurcation and chaos control Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-09 A. Q. Khan; I. Ahmad; H. S. Alayachi; M. S. M. Noorani; A. Khaliq
We explore the local dynamics, flip bifurcation, chaos control and existence of periodic point of the predator-prey model with Allee effect on the prey population in the interior of $\mathbb{R}^*{_+^2}$. Nu-merical simulations not only exhibit our results with the theoretical analysis but also show the complex dynamical behaviors, such as the period-2, 8, 11, 17, 20 and 22 orbits. Further, maximum
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Dynamical analysis of a stochastic SIRS epidemic model with saturating contact rate Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-08 Yang Chen; Wencai Zhao
In this paper, a stochastic SIRS epidemic model with saturating contact rate is constructed. First, for the deterministic system, the stability of the equilibria is discussed by using eigenvalue theory. Second, for the stochastic system, the threshold conditions of disease extinction and persistence are established. Our results indicate that a large environmental noise intensity can suppress the spread
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Dynamics of a toxin-mediated aquatic population model with delayed toxic responses Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-04 Yueping Dong; Jianlu Ren; Qihua Huang
Traditional mathematical models for studying the effects of environmental toxins on population dynamics usually assume that the toxic effects are immediate. However, the effects of toxins on the reproduction and mortality of aquatic populations can be delayed in reality. In this paper, we propose a new mathematical model with delayed toxic responses for aquatic populations in polluted aquatic environments
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A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-03 Raimund Bürger; Paola Goatin; Daniel Inzunza; Luis Miguel Villada
This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. Lécureux-Mercier. A class of nonlocal models for pedestrian traffic. Math. Models Methods Appl. Sci., 22(4):1150023, 2012] to account for anisotropic interactions and the presence of walls or other obstacles in the walking domain. We prove the well-posedness of this extended model and
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A rolling bearing fault detection method based on compressed sensing and a neural network Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-03 Lu Lu; Jiyou Fei; Ling Yu; Yu Yuan
The high sampling frequency of traditional Nyquist sampling theory not only puts greater requirements on the sampling equipment, but also generates a large amount of data, which increases the difficulty of information transmission and storage. To this end, this paper proposes a rolling bearing fault signal detection method based on compressed sensing combined with a neural network. Based on the theory
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Dynamic behavior of swine influenza transmission during the breed-slaughter process Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-02 Fangyuan Chen; Rong Yuan
Global influenza pandemics have brought about various public health crises, such as the 2009 H1N1 swine flu. Actually, most swine influenza infections occur during the breed-slaughter process. However, there is little research about the mathematical model to elaborate on the swine influenza transmission with human-pig interaction. In this paper, a new breed-slaughter model with swine influenza transmission
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Modeling the effect of literacy and social media advertisements on the dynamics of infectious diseases Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-02 Rajanish Kumar Rai; Pankaj Kumar Tiwari; Yun Kang; Arvind Kumar Misra
Education empowers humans and gets them ready to face challenges of life efficiently. Literacy and social media campaigns make people aware of the tools and techniques requisite for protection against the emerging diseases. In this paper, we investigate the combined impacts of literacy and social media on the dynamics of infectious diseases spreading through direct contact. Normalized forward sensitivity
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Critical value in a SIR network model with heterogeneous infectiousness and susceptibility Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-09-01 Shuixian Yan; Sanling Yuan
Using the technique of edge-based compartmental modelling (EBCM) for the spread of susceptible-infected-recovered (SIR) diseases in networks, in a recent paper (PloS One, 8(2013), e69162), Miller and Volz established an SIR disease network model with heterogeneous infectiousness and susceptibility. The authors provided a numerical example to demonstrate its validity but they did not perform any mathematical
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An age- and sex-structured SIR model: Theory and an explicit-implicit numerical solution algorithm Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-08-31 Benjamin Wacker; Jan Schlüter
Since age and sex play an important role in transmission of diseases, we propose a SIR (susceptible-infectious-recovered) model for short-term predictions where the population is divided into subgroups based on both factors without taking into account vital dynamics. After stating our model and its underlining assumptions, we analyze its qualitative behavior thoroughly. We prove global existence and
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Qualitative analysis of a class of SISM epidemic model influenced by media publicity Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-08-28 Dongmei Li; Bing Chai; Weihua Liu; Panpan Wen; Ruixue Zhang
Considering the influence of media lagging publicity on the awareness rate of epidemic situation, this paper introduces the accumulation of epidemic awareness variables, establishes the SISM infectious disease model influenced by media publicity, and gives the sufficient conditions for the global asymptotic stability of the model disease-free equilibrium, the stability of the endemic disease equilibrium
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Three-dimensional mandibular motion trajectory-tracking system based on BP neural network Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-08-28 Sukun Tian; Ning Dai; Linlin Li; Weiwei Li; Yuchun Sun; Xiaosheng Cheng
The aim of this study was to develop a prototype three-dimensional optical motion capture system based on binocular stereo vision, Back-propagation (BP) Neural Network and 3D compen-sation method for accurate and real-time recording of mandibular movement. A specialized 3D method of compensation to eliminate the involuntary vibration motions by human heart beating and respiration. A kind of binocular
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Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the r-Lambert W function Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-08-28 Cristeta U. Jamilla; Renier G. Mendoza; Victoria May P. Mendoza
Structured population models, which account for the state of individuals given features such as age, gender, and size, are widely used in the fields of ecology and biology. In this paper, we consider an age-structured population model describing the population of adults and juveniles. The model consists of a system of ordinary and neutral delay differential equations. We present an explicit solution
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Feature fusion–based preprocessing for steel plate surface defect recognition Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-08-26 Yong Tian; Tian Zhang; Qingchao Zhang; Yong Li; Zhaodong Wang
To address the problem of steel strip surface defect detection, a feature fusion–based preprocessing strategy is proposed based on machine vision technology. This strategy can increase the feature dimension of the image, highlight the pixel features of the image, and improve the recognition accuracy of the convolutional neural network. This method is based on commonly used image feature extraction
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Exponential asymptotic flocking in the Cucker-Smale model with distributed reaction delays Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-08-25 Jan Haskovec; Ioannis Markou
We study a variant of the Cucker-Smale system with distributed reaction delays. Using backward-forward and stability estimates on the quadratic velocity fluctuations we derive sufficient conditions for asymptotic flocking of the solutions. The conditions are formulated in terms of moments of the delay distribution and they guarantee exponential decay of velocity fluctuations towards zero for large
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Intelligent manufacturing security model based on improved blockchain Math. Biosci. Eng. (IF 1.285) Pub Date : 2020-08-24 Jiahe Xu; Yuan Tian; Tinghuai Ma; Najla Al-Nabhan
The Industrial Internet of Things (IIoT) plays an important role in the development of smart factories. However, the existing IIoT systems are prone to suffering from single points of failure and unable to provide stable service. Meanwhile, with the increase of node scale and network quantity, the maintenance cost presents to be higher. Such a disadvantage can be effectively compensated by the features