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Rich dynamics of a threetiered anaerobic foodweb in a chemostat with multiple substrate inflow Math. Biosci. Eng. (IF 1.285) Pub Date : 20201019
Szymon Sobieszek; Matthew J. Wade; Gail S. K. WolkowiczThe mathematical analysis of a threetiered foodweb 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

A new dynamical modeling SEIR with global analysis applied to the real data of spreading COVID19 in Saudi Arabia Math. Biosci. Eng. (IF 1.285) Pub Date : 20201016
Hamdy M. Youssef; Najat A. Alghamdi; Magdy A. Ezzat; Alaa A. ElBary; Ahmed M. ShawkySEIR model is a widely used and acceptable model to distinguish the outbreak of the COVID19 epidemic in many countries. In the current work, a new proposed SEIR model as a mathematical model for the outbreak of novel coronaviruses COVID19 will be constructed. The new proposed SEIR pandemic model provides a new vision for evaluations and management of the epidemic of COVID19 infection. For mathematical

Bimodality in gene expression without feedback: from Gaussian white noise to lognormal coloured noise Math. Biosci. Eng. (IF 1.285) Pub Date : 20201016
Gerardo Aquino; Andrea RoccoExtrinsic noiseinduced 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

Bifurcations and hybrid control in a 3×3 discretetime predatorprey model Math. Biosci. Eng. (IF 1.285) Pub Date : 20201016
Abdul Qadeer Khan; Azhar Zafar Kiyani; Imtiaz AhmadIn this paper, we explore the bifurcations and hybrid control in a $3\times3$ discretetime predatorprey model in the interior of $\mathbb{R}_+^3$. It is proved that $3\times3$ model has four boundary fixed points: $P_{000}(0,0,0)$, $P_{0y0}\left(0,\frac{r1}{r},0\right)$, $P_{0yz}\left(0,\frac{d}{f},\frac{rffdr}{cf}\right)$, $P_{x0z}\left(\frac{d}{e},0,\frac{a}{b}\right)$, and the unique positive

Surface electromyography signal denoising via EEMD and improved wavelet thresholds Math. Biosci. Eng. (IF 1.285) Pub Date : 20201016
Ziyang Sun; Xugang Xi; Changmin Yuan; Yong Yang; Xian HuaThe 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

A fuzzy identification method for persistent scatterers in PSInSAR technology Math. Biosci. Eng. (IF 1.285) Pub Date : 20201015
Wanli Liu; Qiuzhao Zhang; Yueying ZhaoPersistent 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 timeseries SAR images. In the past research, one pixel will be classified to “PS” set or “noPS” set clearly by one or more threshold rules for PS features

Mathematical analysis for COVID19 resurgence in the contaminated environment Math. Biosci. Eng. (IF 1.285) Pub Date : 20201012
Haonan Zhong; Wendi WangA mathematical model is proposed that incorporates the key routes of COVID19 resurgence: humantohuman 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

A purely mechanical model with asymmetric features for early morphogenesis of rodshaped bacteria microcolony Math. Biosci. Eng. (IF 1.285) Pub Date : 20201012
Marie Doumic; Sophie Hecht; Diane PeurichardTo model the morphogenesis of rodshaped bacterial microcolony, several individualbased models have been proposed in the biophysical literature. When studying the shape of microcolonies, most models present interaction forces such as attraction or filial link. In this article, we propose a model where the bacteria interact only through nonoverlapping constraints. We consider the asymmetry of the

A HRGO approach for resilience enhancement service composition and optimal selection in cloud manufacturing Math. Biosci. Eng. (IF 1.285) Pub Date : 20201009
Hao Song; Xiaonong Lu; Xu Zhang; Xiaoan Tang; Qiang ZhangCloud 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 NPhard combinatorial problem, is a crucial issue. Quality of service (QoS) attributes of manufacturing

A nonlinear multipopulation 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 : 20201009
Divine WandukuThe 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

Using highdimensional features for highaccuracy pulse diagnosis Math. Biosci. Eng. (IF 1.285) Pub Date : 20201009
ChingHan Huang; YuMin Wang; Shana SmithAccurate pulse diagnosis is often based on extensive clinical experience. Recently, modern computeraided pulse diagnostic methods have been developed to help doctors to quickly determine patients’ physiological conditions. Most pulse diagnostic methods used lowdimensional feature vectors to classify pulse types. Therefore, some important but subtle pulse information might be ignored. In this study

Application of improved ant colony optimization in mobile robot trajectory planning Math. Biosci. Eng. (IF 1.285) Pub Date : 20200930
Xue Li; Lei WangUnder 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

Local dynamics and coexistence of predator–prey model with directional dispersal of predator Math. Biosci. Eng. (IF 1.285) Pub Date : 20200930
Kwangjoong Kim; Wonhyung ChoiIn 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

Analysis of a multiscale HIV1 model coupling withinhost viral dynamics and betweenhost transmission dynamics Math. Biosci. Eng. (IF 1.285) Pub Date : 20200930
Yuyi Xue; Yanni XiaoThere 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 betweenhost transmission dynamics and withinhost viral dynamics, and investigated the dynamic behaviors of the multiscale system on two timescales. We found that the multiscale

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 : 20200929
Ting Kang; Yanyan Du; Ming Ye; Qimin ZhangIn 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

A heterogeneous parasiticmutualistic model of mistletoes and birds on a periodically evolving domain Math. Biosci. Eng. (IF 1.285) Pub Date : 20200928
Jie Wang; Jian Wang; Jiafeng CaoIn this paper, a parasiticmutualistic 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 spatialtemporal risk index R0B and R0M for birds population and mistletoesbirds population, respectively, the fundamental extinction, persistence

A 6point 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 : 20200927
Ghulam Mustafa; Dumitru Baleanu; Syeda Tehmina Ejaz; Kaweeta Anjum; Ali Ahmadian; Soheil Salahshour; Massimiliano FerraraIn this paper, we first present a 6point 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 perturbed boundary value problems (NSPBVP). The convergence of an iterative algorithm has also been presented. The 2nd

The food seeking behavior of slime mold: a macroscopic approach Math. Biosci. Eng. (IF 1.285) Pub Date : 20200928
Simone Göttlich; Stephan Knapp; Dylan WeberStarting from a particle model we derive a macroscopic aggregationdiffusion 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 aggregationdiffusion equation allows

Optimized packing multidimensional hyperspheres: a unified approach Math. Biosci. Eng. (IF 1.285) Pub Date : 20200928
Yuriy Stoyan; Georgiy Yaskov; Tatiana Romanova; Igor Litvinchev; Sergey Yakovlev; José Manuel Velarde CantúIn 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 (nonintersection, containment and distant

Spatial general autoregressive modelbased image interpolation accommodates arbitrary scale factors Math. Biosci. Eng. (IF 1.285) Pub Date : 20200928
Yuntao Hu; Fei Hao; Chao Meng; Lili Sun; Dashuai Xu; Tianqi ZhangThis 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 noninteger 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

Worry less about the algorithm, more about the sequence of events Math. Biosci. Eng. (IF 1.285) Pub Date : 20200928
Farrokh AlemiBackground: 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 MaximumMinimum Hill Climbing. These algorithms optimize the fit to the data, while ignoring the order of occurrences of the variables in the

Generating patientspecific virtual tumor populations with reactiondiffusion models and molecular imaging data Math. Biosci. Eng. (IF 1.285) Pub Date : 20200925
Nick HenscheidThe 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 patientspecific virtual populations in this context, providing in silico experiments to demonstrate how intra and interpatient heterogeneity can be estimated by applying rigorous statistical procedures

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 : 20200925
Rachael C. Adams; Behnam RashidiehDrug 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

Traveling waves in delayed reactiondiffusion equations in biology Math. Biosci. Eng. (IF 1.285) Pub Date : 20200925
Sergei Trofimchuk; Vitaly VolpertThis 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

A FokkerPlanck approach to the study of robustness in gene expression Math. Biosci. Eng. (IF 1.285) Pub Date : 20200924
Pierre Degond; Maxime Herda; Sepideh MirrahimiWe study several FokkerPlanck equations arising from a stochastic chemical kinetic system modeling a gene regulatory network in biology. The densities solving the FokkerPlanck 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

Stability of an adaptive immunity delayed HIV infection model with active and silent celltocell spread Math. Biosci. Eng. (IF 1.285) Pub Date : 20200924
A. M. Elaiw; N. H. AlShamrani; A. D. HobinyThis 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

Straininduced packing transition of Ih Cun@Ag55n(n=0, 1, 13, 43) clusters from atomic simulations Math. Biosci. Eng. (IF 1.285) Pub Date : 20200923
Jinhan Liu; Lin ZhangStrain 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@Ag55n clusters without or with different number of Cu core atoms. Analytical tools were used to demonstrate the packing

Optimal control on COVID19 eradication program in Indonesia under the effect of community awareness Math. Biosci. Eng. (IF 1.285) Pub Date : 20200923
Dipo Aldila; Meksianis Z. Ndii; Brenda M. SamiadjiA total of more than 27 million confirmed cases of the novel coronavirus outbreak, also known as COVID19, 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

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 : 20200923
Bo Dong; Alexey Luzin; Dmitry GuraThe 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

AEMCS for PHEV based on realtime driving cycle prediction and personalized travel characteristics Math. Biosci. Eng. (IF 1.285) Pub Date : 20200923
Yuanbin Yu; Junyu Jiang; Pengyu Wang; Jinke LiEnergy management plays an important role in improving the fuel economy of plugin hybrid electric vehicles (PHEV). Therefore, this paper proposes an improved adaptive equivalent consumption minimization strategy (AECMS) based on longterm target driving cycle recognition and shortterm vehicle speed prediction, and adapt it to personalized travel characteristics. Two main contributions have been

Study of performance criteria of serial configuration of two chemostats Math. Biosci. Eng. (IF 1.285) Pub Date : 20200922
Manel Dali Youcef; Alain Rapaport; Tewfik SariThis paper deals with thorough analysis of serial configurations of two chemostats. We establish an indepth 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

A Newtonlike iterative method implemented in the DelPhi for solving the nonlinear PoissonBoltzmann equation Math. Biosci. Eng. (IF 1.285) Pub Date : 20200921
Chuan Li; Mark McGowan; Emil Alexov; Shan ZhaoDelPhi is a popular scientific program which numerically solves the PoissonBoltzmann 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 Newtonlike method to solve the nonlinear PBE, in addition to

Lifting mobility restrictions and the effect of superspreading events on the shortterm dynamics of COVID19 Math. Biosci. Eng. (IF 1.285) Pub Date : 20200918
Mario SantanaCibrian; Manuel A. AcuñaZegarra; Jorge X. VelascoHernandezSARSCoV2 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 COVID19 epidemic. In several countries, these measures were effective, and it was possible to flatten the epidemic curve

Competitive exclusion in a DAE model for microbial electrolysis cells Math. Biosci. Eng. (IF 1.285) Pub Date : 20200916
Harry J. Dudley; Zhiyong Jason Ren; David M. BortzMicrobial 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 differentialalgebraic equation (DAE) model for MECs. The model resembles a chemostat or continuous stirred tank reactor (CSTR). It consists of ordinary differential

Brain tumor classification in MRI image using convolutional neural network Math. Biosci. Eng. (IF 1.285) Pub Date : 20200915
Hassan Ali Khan; Wu Jue; Muhammad Mushtaq; Muhammad Umer MushtaqBrain 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

Transmission dynamics of Zika virus incorporating harvesting Math. Biosci. Eng. (IF 1.285) Pub Date : 20200915
Zongmin Yue; Fauzi Mohamed Yusof; Sabarina ShafieIn 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 diseasefree and endemic equilibrium, analyze the effect of harvesting on ZIKV transmission dynamics via numerical simulation. We find that proportional harvesting strategy can eliminate

Global analysis and optimal harvesting for a hybrid stochastic phytoplanktonzooplanktonfish model with distributed delays Math. Biosci. Eng. (IF 1.285) Pub Date : 20200914
Yuanpei Xia; Weisong Zhou; Zhichun YangIn this paper, we formulate a phytoplanktonzooplanktonfish 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 wellposedness, bounded ness, persistence, extinction

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 : 20200914
Bertin Hoffmann; Udo Schumacher; Gero WedemannIn 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

Dynamics of an epidemic model with relapse over a twopatch environment Math. Biosci. Eng. (IF 1.285) Pub Date : 20200915
Dongxue Yan; Xingfu ZouIn 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 twopatch 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

Analyzing the effect of duration on the daily new cases of COVID19 infections and deaths using bivariate Poisson regression: a marginal conditional approach Math. Biosci. Eng. (IF 1.285) Pub Date : 20200915
Rafiqul Chowdhury; Gary Sneddon; M. Tariqul HasanThe whole world is devastated by the impact of the COVID19 pandemic. The socioeconomic and other effects of COVID19 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 COVID19 related new cases and deaths. In this paper, we analyzed the correlated count outcomes, daily new cases, and fatalities, and assessed the impact

A consumerresource competition model with a statedependent delay and stagestructured consumer species Math. Biosci. Eng. (IF 1.285) Pub Date : 20200914
Yan Wang; Xianning Liu; Yangjiang WeiIn this paper, a new consumerresource competition model with a statedependent maturity delay is developed, which incorporates one resource species and two stagestructured 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 wellposedness of the solution

Soft prerough sets and its applications in decision making Math. Biosci. Eng. (IF 1.285) Pub Date : 20200914
M. El Sayed; Abdul Gawad A. Q. Al Qubati; M. K. ElBablySoft rough set model represents a different mathematical model to which many reallife 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

Consensusbased global optimization with personal best Math. Biosci. Eng. (IF 1.285) Pub Date : 20200911
Claudia Totzeck; MarieTherese WolframIn this paper we propose a variant of a consensusbased global optimization (CBO) method that uses personal best information in order to compute the global minimum of a nonconvex, 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

Teaching learningbased whale optimization algorithm for multilayer perceptron neural network training Math. Biosci. Eng. (IF 1.285) Pub Date : 20200910
Yongquan Zhou; Yanbiao Niu; Qifang Luo; Ming JiangThis paper presents an improved teaching learningbased whale optimization algorithm (TSWOA) used the simplex method. First of all, the combination of WOA algorithm and teaching learningbased algorithm not only achieves a better balance between exploration and exploitation of WOA, but also makes whales have selflearning ability from the biological background, and greatly enriches the theory of the

Mathematical modeling of COVID19 transmission: the roles of intervention strategies and lockdown Math. Biosci. Eng. (IF 1.285) Pub Date : 20200910
Sarita Bugalia; Vijay Pal Bajiya; Jai Prakash Tripathi; MingTao Li; GuiQuan SunAn 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 COVID19 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 COVID19. In this study, we propose a compartmental

Discretetime predatorprey model with flip bifurcation and chaos control Math. Biosci. Eng. (IF 1.285) Pub Date : 20200909
A. Q. Khan; I. Ahmad; H. S. Alayachi; M. S. M. Noorani; A. KhaliqWe explore the local dynamics, flip bifurcation, chaos control and existence of periodic point of the predatorprey model with Allee effect on the prey population in the interior of $\mathbb{R}^*{_+^2}$. Numerical simulations not only exhibit our results with the theoretical analysis but also show the complex dynamical behaviors, such as the period2, 8, 11, 17, 20 and 22 orbits. Further, maximum

Dynamical analysis of a stochastic SIRS epidemic model with saturating contact rate Math. Biosci. Eng. (IF 1.285) Pub Date : 20200908
Yang Chen; Wencai ZhaoIn 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

Dynamics of a toxinmediated aquatic population model with delayed toxic responses Math. Biosci. Eng. (IF 1.285) Pub Date : 20200904
Yueping Dong; Jianlu Ren; Qihua HuangTraditional 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

A nonlocal pedestrian flow model accounting for anisotropic interactions and domain boundaries Math. Biosci. Eng. (IF 1.285) Pub Date : 20200903
Raimund Bürger; Paola Goatin; Daniel Inzunza; Luis Miguel VilladaThis study revises the nonlocal macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. LécureuxMercier. 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 wellposedness of this extended model and

A rolling bearing fault detection method based on compressed sensing and a neural network Math. Biosci. Eng. (IF 1.285) Pub Date : 20200903
Lu Lu; Jiyou Fei; Ling Yu; Yu YuanThe 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

Dynamic behavior of swine influenza transmission during the breedslaughter process Math. Biosci. Eng. (IF 1.285) Pub Date : 20200902
Fangyuan Chen; Rong YuanGlobal influenza pandemics have brought about various public health crises, such as the 2009 H1N1 swine flu. Actually, most swine influenza infections occur during the breedslaughter process. However, there is little research about the mathematical model to elaborate on the swine influenza transmission with humanpig interaction. In this paper, a new breedslaughter model with swine influenza transmission

Modeling the effect of literacy and social media advertisements on the dynamics of infectious diseases Math. Biosci. Eng. (IF 1.285) Pub Date : 20200902
Rajanish Kumar Rai; Pankaj Kumar Tiwari; Yun Kang; Arvind Kumar MisraEducation 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

Critical value in a SIR network model with heterogeneous infectiousness and susceptibility Math. Biosci. Eng. (IF 1.285) Pub Date : 20200901
Shuixian Yan; Sanling YuanUsing the technique of edgebased compartmental modelling (EBCM) for the spread of susceptibleinfectedrecovered (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

An age and sexstructured SIR model: Theory and an explicitimplicit numerical solution algorithm Math. Biosci. Eng. (IF 1.285) Pub Date : 20200831
Benjamin Wacker; Jan SchlüterSince age and sex play an important role in transmission of diseases, we propose a SIR (susceptibleinfectiousrecovered) model for shortterm 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

Qualitative analysis of a class of SISM epidemic model influenced by media publicity Math. Biosci. Eng. (IF 1.285) Pub Date : 20200828
Dongmei Li; Bing Chai; Weihua Liu; Panpan Wen; Ruixue ZhangConsidering 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 diseasefree equilibrium, the stability of the endemic disease equilibrium

Threedimensional mandibular motion trajectorytracking system based on BP neural network Math. Biosci. Eng. (IF 1.285) Pub Date : 20200828
Sukun Tian; Ning Dai; Linlin Li; Weiwei Li; Yuchun Sun; Xiaosheng ChengThe aim of this study was to develop a prototype threedimensional optical motion capture system based on binocular stereo vision, Backpropagation (BP) Neural Network and 3D compensation method for accurate and realtime 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

Explicit solution of a LotkaSharpeMcKendrick system involving neutral delay differential equations using the rLambert W function Math. Biosci. Eng. (IF 1.285) Pub Date : 20200828
Cristeta U. Jamilla; Renier G. Mendoza; Victoria May P. MendozaStructured 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 agestructured 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

Feature fusion–based preprocessing for steel plate surface defect recognition Math. Biosci. Eng. (IF 1.285) Pub Date : 20200826
Yong Tian; Tian Zhang; Qingchao Zhang; Yong Li; Zhaodong WangTo 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

Exponential asymptotic flocking in the CuckerSmale model with distributed reaction delays Math. Biosci. Eng. (IF 1.285) Pub Date : 20200825
Jan Haskovec; Ioannis MarkouWe study a variant of the CuckerSmale system with distributed reaction delays. Using backwardforward 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

Intelligent manufacturing security model based on improved blockchain Math. Biosci. Eng. (IF 1.285) Pub Date : 20200824
Jiahe Xu; Yuan Tian; Tinghuai Ma; Najla AlNabhanThe 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