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Modeling and analysis of a periodic delays spatial diffusion HIV model with three-stage infection process Int. J. Biomath. (IF 2.2) Pub Date : 2024-03-06 Peng Wu, Zerong He
Considering the antiviral drugs can act on the fusion, reverse transcription, and budding stages of HIV infected cells, in this paper, we formulate a two-periodic delay heterogeneous space diffusion HIV model with three-stage infection process to study the effects of periodic antiviral treatment and spatial heterogeneity on HIV infection process. We first study the well-posedness of the full system
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Noise propagation and amplification in microbial communities with different resistance mechanisms Int. J. Biomath. (IF 2.2) Pub Date : 2024-03-06 Zhao Yang, Fang Yan, Haihong Liu
Antimicrobial resistance is a growing concern in the field of microbiology. In a microbial community, the Susceptible Subpopulations (SSs) and the Non-genetically Resistant Subpopulations (NRSs) can switch between each other, and NRSs can mutate to Genetically Resistant Subpopulations (GRSs). In order to quantitatively describe the relationship between noise and signal amplification in the subpopulations
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On the dynamics of a Zika disease model with vector-bias Int. J. Biomath. (IF 2.2) Pub Date : 2024-02-29 Mengjie Han, Junli Liu, Tailei Zhang
In this paper, we propose a Zika transmission model which considers human-to-human sexual transmission, the extrinsic incubation period of mosquitoes, and the vector-bias effect. Firstly, the explicit expression of the basic reproduction number R0 is given by using the next-generation operator method, and the global dynamics of the model are established by taking R0 as the threshold condition, that
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Impact of time delay in a plankton–fish system with nonlinear harvesting and external toxicity Int. J. Biomath. (IF 2.2) Pub Date : 2024-02-14 Ravikant Singh, Archana Ojha, Pankaj Kumar Tiwari, Nilesh Kumar Thakur, Yun Kang
In this study, we explore the dynamics of a plankton–fish system in which external toxic substances have adverse impacts on the plankton populations as well as the fish communities. Fish population is assumed to grow in a logistic fashion due to food sources other than zooplankton, and is being harvested at a nonlinear rate. Mathematically, we analyze the system for the feasibility and stability of
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Dynamics of a stage-structured insect–vegetable crop interaction model with maturation delay Int. J. Biomath. (IF 2.2) Pub Date : 2024-02-14 A. K. Misra, Akash Yadav
Vegetables are rich in vitamins, minerals and dietary fibers. Insects attack vegetable crops and to control them, farmers spray chemical insecticides. However, the continuous insecticide spray leads to residues in vegetables and harms the beneficial insects. In this research work, we formulate a novel stage-structured insect–vegetable crop interaction model to investigate the effects of a one-time
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A time-space SIR model for disease spread across two regions: Analysis and numerical simulations Int. J. Biomath. (IF 2.2) Pub Date : 2024-02-14 O. Elamraoui, E. H. Essoufi, H. Rahnaoui, A. Zafrar
This paper handles with a time-space SIR model in two regions which have a common interface. The model is defined as coupled reaction–diffusion system with a robin boundary in interface to predict the immigration between the two regions. As known, the immigration has an influence on the spread of disease, this is caused by immigrants who could carry the disease from their areas to other places. For
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Optimal control of a spatiotemporal discrete tuberculosis model Int. J. Biomath. (IF 2.2) Pub Date : 2024-02-05 Hamza Toufga, Lahbib Benahmadi, Ayoub Sakkoum, Mustapha Lhous
Understanding the impact of human behavior on the spread of infectious diseases might be the key to developing better control strategies. Tuberculosis (TB) is an infectious disease caused by bacteria that mostly affects the lungs. TB remains a global health issue due to its high mortality. The paper proposes a spatiotemporal discrete tuberculosis model, based on the assumption that individuals can
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Comprehensive analysis of disease dynamics using nonlinear fractional order SEIRS model with Crowley–Martin functional response and saturated treatment Int. J. Biomath. (IF 2.2) Pub Date : 2024-02-05 Bouissa Ayoub, Tsouli Najib
This paper presents a comprehensive study of disease spreading dynamics through the application of a nonlinear fractional order epidemic SEIRS model. By incorporating the Crowley–Martin type functional response and a saturated treatment function, the model effectively captures the intricacies of real-world epidemics. Our research establishes the existence, uniqueness, non-negativity and boundedness
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Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-29 Ming Wu, Hongxing Yao
This study considers a model which incorporates delays, diffusion and toxicity in a phytoplankton–zooplankton system. Initially, we analyze the global existence, asymptotic behavior and persistence of the solution. We then analyze the equilibria’s local stability and investigate the non-delayed system’s bifurcation phenomena, including Turing and Hopf bifurcations and their combination. Subsequently
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Dynamical behavior of a stochastic COVID-19 model with two Ornstein–Uhlenbeck processes and saturated incidence rates Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-24 Xiaoyu Li, Zhiming Li
According to the transmission characteristics of COVID-19, this paper proposes a stochastic SAIRS epidemic model with two mean reversion Ornstein–Uhlenbeck processes and saturated incidence rates. We first prove the existence and uniqueness of the global solution in the stochastic model. Using several suitable Lyapunov methods, we then derive the extinction and persistence of COVID-19 under certain
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Switching dynamics of a Filippov memristive Hindmash–Rose neuron model with time delay Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-22 Shuai Qiao, Chenghua Gao
Considering the existence of magnetic induction effect with different intensities in the process of subthreshold and suprathreshold oscillations of bioelectrical activities, a non-smooth feedback strategy for memristive current with time delay is proposed, and then a four-dimensional Filippov Hindmarsh–Rose (HR) neuron model is established. The local stability and bifurcation patterns of delayed subsystems
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Some qualitative analyses on a vegetation-water model with cross-diffusion and internal competition Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-22 Gaihui Guo, Anna Niu, Qian Cao, Lixin Yang
This paper is concerned with a vegetation-water model with cross-diffusion and intra-plant competitive feedback under Neumann boundary conditions. First, we found that the equilibrium with small vegetation density is always unstable, and if the cross-diffusion coefficient is suitably large, the equilibrium with relatively large vegetation density loses its stability, and Turing instability occurs.
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Identifying function modules from protein–protein interaction networks based on Szemerédi’s Regularity Lemma Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-19 Changxiang He, Die Li, Yan Li, Peisheng Yang, Qingqian Zhang, Wen Zhong, Haiying Shan, Hao Dai, LuoNan Chen
Szemerédi’s Regularity Lemma (SRL) is a crucial tool in the analysis of large graphs, having made significant contributions in the proof of some sensational results in mathematics. Traditional methods for studying proteins in Protein–Protein Interaction (PPI) networks typically only extract the first-order or second-order neighbor information of proteins, ignoring the potential third-order or higher-order
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Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-18 Jingen Yang, Yuanxian Hui, Zhong Zhao
In this paper, we study a diffusive toxic-phytoplankton–zooplankton model with prey-taxis under Neumann boundary condition. By analyzing the characteristic equation, we discuss the local stability of the positive constant solutions and show the repulsive prey-taxis is the key factor that destabilizes the solutions. By means of the abstract bifurcation theorem, we investigate the existence of non-constant
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Assessment of vaccination and underreporting on COVID-19 infections in Turkey based on effective reproduction number Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-12 Tuğba Akman, Emek Köse, Necibe Tuncer
In this paper, we introduce a SEIR-type COVID-19 model where the infected class is further divided into subclasses with individuals in intensive care (ICUs) and ventilation units. The model is calibrated with the symptomatic COVID-19 cases, deaths, and the number of patients in ICUs and ventilation units as reported by Republic of Turkey, Ministry of Health for the period 11 March 2020 through 30 May
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Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-12 Wei Wang, Xiaotong Wang, Xiaoting Fan
To investigate the effects of environmental pollution and human behavior change on waterborne diseases, we propose a reaction-advection-diffusion waterborne disease model with a general boundary condition, which incorporates human hosts and reservoir aquatic of pathogen. We identify the basic reproduction number ℛ0 and discuss its asymptotic properties. We prove its threshold role: if ℛ0<1, the disease-free
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Traveling waves of modified Leslie–Gower predator–prey systems Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-12 Hongliang Li, Min Zhao, Rong Yuan
This paper focuses on the spreading phenomena within modified Leslie–Gower reaction–diffusion predator–prey systems. Our main objective is to investigate the existence of two distinct types of traveling waves. Specifically, with the aid of the upper and lower solution methods, we establish the existence of traveling waves connecting the prey-present state and the coexistence state or the prey-present
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Hopf bifurcation and normal form in a delayed oncolytic model Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-12 Fatiha Najm, Moussaid Ahmed, Radouane Yafia, M. A. Aziz Alaoui, Lahcen Boukrim
In this paper, we investigate the mathematical analysis of a mathematical model describing the virotherapy treatment of a cancer with logistic growth and the effect of viral cycle presented by a time delay. The cancer population size is divided into uninfected and infected compartments. Depending on time delay, we prove the positivity and boundedness and the stability of equilibria. We give conditions
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Pulsating traveling fronts of a discrete periodic system with a quiescent stage Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-06 Haiqin Zhao, Xue Li
In this paper, we study the pulsating traveling fronts for a spatially discrete periodic reaction–diffusion system with a quiescent stage. It is known that there exists a critical number c∗>0 (called minimal wave speed) such that a pulsating traveling front exists if and only if its speed is above c∗. In this paper, we derive a uniqueness theorem for supercritical pulsating traveling fronts. Further
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Global analysis of a network-based SIR epidemic model with a saturated treatment function Int. J. Biomath. (IF 2.2) Pub Date : 2024-01-04 Xiaodan Wei
In this paper, we study a network-based SIR epidemic model with a saturated treatment function in which a parameter α is introduced to measure the extent of the effect of the infected being delayed for treatment. Our aim is to present a global analysis and to investigate how the parameter α affects the spreading of diseases. Our main results are as follows: (1) In the case of the threshold value R0<1
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Dynamics of a delayed reaction–diffusion predator–prey model with nonlocal competition and double Allee effect in prey Int. J. Biomath. (IF 2.2) Pub Date : 2023-12-30 Fatao Wang, Ruizhi Yang
In this paper, we study the effects of the nonlocal competition and double Allee effect in prey on a diffusive predator–prey model. We investigate the local stability of coexistence equilibrium in the predator–prey model by analyzing the eigenvalue spectrum. We study the consequence of double Allee effect on the prey population. Also, we discuss the existence of Hopf bifurcation under different parameters
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Analysis and chaotic behavior of a fish farming model with singular and non-singular kernel Int. J. Biomath. (IF 2.2) Pub Date : 2023-12-30 Changjin Xu, Muhammad Farman, Aamir Shehzad
Fish farming, a potential activity for the production of protein with high nutritional value, has emerged as a substantial source of income in the modern world. The degradation of natural materials uses oxygen to reduce them below the life-support stage. A huge area with an excessive amount of water swamp for oxygen exchange makes for the ideal ecosphere for fish farming, yet the mussel population
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Demand assessment of the number of inpatient beds in China based on the COVID-19 dynamical model Int. J. Biomath. (IF 2.2) Pub Date : 2023-12-28 Chuanqing Xu, Kedeng Cheng, Lianjiao Dai, Songbai Guo, Xiaoling Liu
COVID-19 is a worldwide pandemic that poses a great threat to people’s health and has a huge impact on economic and social life. The epidemic is currently at a low level, but is still prevalent worldwide. Therefore, it is still important to study the prevention and control of the spread of the COVID-19 epidemic. We collected the numbers of COVID-19 infections in China during the past three years, and
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Threshold dynamics of a nonlocal dispersal SIS epidemic model with free boundaries Int. J. Biomath. (IF 2.2) Pub Date : 2023-12-23 Yachun Tong, Inkyung Ahn, Zhigui Lin
To study the influence of the moving front of the infected interval and the spatial movement of individuals on the spreading or vanishing of infectious disease, we consider a nonlocal susceptible–infected–susceptible (SIS) reaction–diffusion model with media coverage, hospital bed numbers and free boundaries. The principal eigenvalue of the integral operator is defined, and the impacts of the diffusion
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Mathematical modeling of drug resistance in heterogeneous cancer cell populations Int. J. Biomath. (IF 2.2) Pub Date : 2023-12-23 Kangbo Bao, Guizhen Liang, Tianhai Tian, Xingan Zhang
Drug resistance is one of the most intractable issues associated with cancer treatment in clinical practice. Mathematical models provide an analytic framework for facilitating the understanding of resistance evolution dynamics and the design of cancer clinical trial. In this paper, we develop an elementary, compartmental mathematical model for absolute drug resistance, focusing on the effects of point
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Modeling and analyzing COVID-19 infections in South Africa Int. J. Biomath. (IF 2.2) Pub Date : 2023-12-23 Tianqi Song, Yishi Wang, Chuncheng Wang, Qi An
In this paper, we present a mathematical model that incorporates seasonal variations in COVID-19 transmission within South Africa. By fitting the model to real-world data, we estimate its parameters and demonstrate its enhanced accuracy in describing the local infection dynamics. We analyze the basic reproduction number and establish threshold dynamics through theoretical analysis, alongside investigating
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Mathematical analysis of a coronavirus model with Caputo, Caputo–Fabrizio–Caputo fractional and Atangana–Baleanu–Caputo differential operators Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-29 Ihtisham ul Haq, Nigar Ali, Hijaz Ahmad, Ramadan Sabra, M. Daher Albalwi, Imtiaz Ahmad
This research aims to use fractional operators to analyze a fractional-order model of a coronavirus disease of 2019 (COVID-19). We use some basic results and definitions from fractional calculus and then, by using them, investigate the effects of these operators in a better elucidation of the epidemic COVID-19. We showed the existence and uniqueness of the solution of the proposed model by applying
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An SVIQR model with vaccination-age, general nonlinear incidence rate and relapse: Dynamics and simulations Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-27 Abdellah Ouakka, Abdelhai Elazzouzi, Zakia Hammouch
This work is concerned with the global dynamics of a Susceptible–Vaccinated–Infected–Isolated–Recovered model, denoted by SVIQR, with vaccination-age. Moreover, the considered model contains a relapse term and a general form of the incidence function. This model is formulated to show the effect of sanitary isolation and vaccination on the disease prevalence when the relapse phenomena occurs. First
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Stability and bifurcation analysis of a nonlinear dynamical model studying the decline of vulture population Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-24 Abhinav Tandon, Vaishnudebi Dutta, Yuvraj Mishra
A nonlinear dynamical model is developed in this paper that depicts interactions among vultures, human, animals and their carcasses. Diseases such as plague, anthrax and rabies are spreading due to the cascade impact caused by the catastrophic drop in the vulture population, particularly in Africa and Asia. The built model is theoretically studied using qualitative differential-equation theory to demonstrate
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Galerkin finite element method for oncolytic M1 cancer virotherapy reaction–diffusion model Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-23 Sunil S. Kumbhar, Sarita Thakar
In this paper, we consider oncolytic M1 cancer virotherapy reaction–diffusion model for its numerical simulation. The Galerkin finite element method (FEM) based on cubic B-splines is setup to obtain numerical solutions of this nonlinear model. Stability of the corresponding linearized scheme is studied by the von Neumann method. Since the problem is nonlinear and its exact solutions are not available
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Complex dynamics of a nonlinear discrete predator–prey system with fear factor and harvesting effect Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-23 Ceyu lei, Xiaoling Han
In this paper, a class of discrete-time predator–prey system with fear factor and harvesting effect is proposed, and its complex dynamic behavior is analyzed. First, the existence and stability of equilibrium points of the discrete system are studied. Second, the critical value expressions of Neimark–Sacker bifurcation and flip bifurcation are obtained by bifurcation theory. Third, we control the bifurcation
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Impact of water stress on plants production: A study case of banana-plantain Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-21 C. Kabiwa Kadje, A. Nana Yakam, S. Bowong, G. Mophou
This paper has been motivated by the following ecological question: how influential is the water stress on plants production? The aim of this paper is to investigate the impact of water stress and irrigation on plants production. We propose a mathematical model for the dynamics growth of plants that takes into account the concentration of available water in the soil, the absorption of water by plants
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Impacts of nonlocal fear effect and delay on a reaction–diffusion predator–prey model Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-21 Xuebing Zhang, Jia Liu, Guanglan Wang
In this research, we examine a predator–prey model in which nonlocal fear plays a role alongside delay in a reaction–diffusion framework. We integrate two delays into the model to account for the lag between when fear starts affecting the growth rate of prey and when it starts affecting the growth rate of the predator through feedback. The first step is to investigate local and global stability and
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A model for the transmission dynamics of pneumococcal pneumonia and influenza co-infection Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-20 Mohsin Ali, Adnan Khan, Shaper Mirza, Mudassar Imran
Synergistic interaction between influenza and pneumonia is well established in the literature. In this study, we present a model for the transmission dynamics of co-infection with influenza and pneumococcal pneumonia, with the goal of assessing the effects of influenza co-infection on the transmission of pneumonia. We derive an expression for the basic reproductive number ℛ0=max(ℛf,ℛp) where ℛf and
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Theoretical mechanism of boundary-driven instability of the reaction–diffusion population system Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-18 Yong-Li Song, Gao-Xiang Yang
In this paper, we study the stability of a constant equilibrium solution of the reaction–diffusion population equation under different boundary conditions through analysis of its characteristic equation. In a scalar reaction–diffusion equation, we have found that the stability of a constant equilibrium solution is different when the scalar reaction–diffusion equation is subject to Neumann boundary
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Spatial and temporal periodic patterns in a delayed diffusive plant–pollinator model with memory-based diffusion Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-18 Xiaosong Tang, Shan Zhou, Jieying Luo
In this paper, incorporating memory-based diffusion and delay, we propose a partly diffusive plant–pollinator model under Neumann boundary condition. Then, we investigate the effects of memory-based diffusion and delay on the dynamics of this model through discussing the corresponding characteristic equation. And we find that Turing bifurcations and Hopf bifurcations can be induced by memory-based
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Dynamics of a reaction–diffusion three-species food chain model: Effect of space-time white noise Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-18 Haokun Qi, Bing Liu, Shi Li
This paper is devoted to analyzing the influence of space-time white noise on the dynamics of biological mathematical models in spatiotemporal scenarios based on stochastic partial differential equations (SPDEs). Here, we propose a stochastic reaction–diffusion three-species food chain model with various functional response functions. The motivation of the SPDEs model construction is mainly twofold:
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The seasonal influenza transmission dynamic and the correlation analysis with meteorology in Beijing Int. J. Biomath. (IF 2.2) Pub Date : 2023-11-07 Lusha Shi, Liping Wang, Zhen Jin
Based on the transmission mechanism of seasonal influenza, this paper establishes a SEIMHRS model with hospital-visiting behavior and periodic transmission rate, and then analyzes the existence and stability of disease-free and endemic periodic solutions theoretically. Taking the epidemic of seasonal influenza during 2013–2018 in Beijing and conducting parameter estimation, we derive its basic reproduction
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Fractional view analysis of the transmission dynamics of norovirus with contaminated food and water Int. J. Biomath. (IF 2.2) Pub Date : 2023-10-26 Ashfaq Ahmad, Rashid Ali, Ijaz Ahmad, Muhammad Ibrahim
Norovirus infection has been documented to have a significant economic impact in different regions of the world. Even though young children bear the greatest economic burden, older age groups in some locations have the highest costs per illness. Most of these costs result from lost production caused by acute illnesses. This viral infection causes inflammation of the intestines and stomach, also called
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The analysis of deterministic and stochastic SIM model with general information intervention Int. J. Biomath. (IF 2.2) Pub Date : 2023-10-19 Tan Yang, Yang Lin
In this paper, we propose an epidemic model with the impact of information intervention and general incidence rate in deterministic and stochastic environment, respectively. The information intervention prompts susceptible individuals to change their behavior to protect themselves from infection. First, the asymptotic dynamics of the disease-free equilibrium and the unique endemic equilibrium are analyzed
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A stochastic analysis of co-infection model in a finite carrying capacity population Int. J. Biomath. (IF 2.2) Pub Date : 2023-10-17 Qura tul Ain, JinRong Wang
The paper focuses on the study of an epidemic model for the evolution of diseases, using stochastic models. We demonstrated the encoding of this intricate model into formalisms suitable for analysis with advanced stochastic model checkers. A co-infection model’s dynamics were modeled as an Ito–Levy stochastic differential equations system, representing a compartmental system shaped by disease complexity
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Effect of spatial memory on a predator–prey model with herd behavior Int. J. Biomath. (IF 2.2) Pub Date : 2023-10-14 Yahong Peng, Ke Yu, Yujing Li
In this paper, we introduce spatial memory into a predator–prey model with herd behavior. Taking memory-based diffusion coefficient and average memory period of predators as control parameters, we obtain the stable conditions of the positive equilibrium of system and prove the existence of Hopf bifurcation. In addition, a double Hopf bifurcation occurs at the intersection of the nonhomogeneous Hopf
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Instability and bifurcation analysis of a diffusive predator–prey model with fear effect and delay Int. J. Biomath. (IF 2.2) Pub Date : 2023-10-06 Hongyan Sun, Jianzhi Cao, Pengmiao Hao, Lijie Zhang
In this paper, a delayed diffusive predator–prey model with fear effect under Neumann boundary conditions is considered. For the system without diffusion and delay, the conditions for the existence and local stability of equilibria are obtained by analyzing the eigenvalues. Then, the instability induced by diffusion and delay-diffusion of the positive constant stationary solutions are discussed, respectively
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Assessing the role of active case detection on visceral leishmaniasis control: A case study Int. J. Biomath. (IF 2.2) Pub Date : 2023-10-05 Santanu Biswas
In this paper, we formulate and analyze a compartmental model of visceral leishmaniasis (VL). We validate our model by calibrating it to the yearly VL incidence data for India and Bangladesh. The proposed model’s basic reproduction number (R0) has been derived and estimated. We have proved the existence of backward bifurcation in our system. The phenomenon of backward bifurcation has public health
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Dynamical analysis of a Lotka–Volterra competition model with both Allee and fear effects Int. J. Biomath. (IF 2.2) Pub Date : 2023-10-05 Shangming Chen, Fengde Chen, Vaibhava Srivastava, Rana D. Parshad
Population ecology theory is replete with density-dependent processes. However, trait-mediated or behavioral indirect interactions can both reinforce or oppose density-dependent effects. This paper presents the first two species competitive ODE and PDE systems, where the non-consumptive behavioral fear effect and the Allee effect, a density-dependent process, are both present. The stability of the
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Dynamics of a predator–prey model with mutation and nonlocal effect Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-27 Bang-Sheng Han, Shao-Yue Mi, Miao-Miao Wen, Lin Zhao
The global dynamics of a nonlocal predator–prey model with mutation are investigated in this paper. First, by building a new comparison principle and constructing monotone iterative sequences, we give the existence of the solution for the corresponding initial boundary value problem. Then the uniqueness and uniformly boundedness of the solution are established by using the fundamental solution and
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Global stability of a quasilinear predator–prey model with indirect pursuit–evasion interaction Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-27 Chuanjia Wan, Pan Zheng, Wenhai Shan
This paper deals with a predator–prey model with indirect prey-taxis and predator-taxis ut=∇⋅(D1(u)∇u)−χ∇⋅(S1(u)∇z)+u(αv−a1−b1u),x∈Ω,t>0,vt=∇⋅(D2(v)∇v)+ξ∇⋅(S2(v)∇w)+v(a2−b2v−u),x∈Ω,t>0,0=Δw+βu−γw,x∈Ω,t>0,0=Δz+δv−ρz,x∈Ω,t>0, under homogeneous Neumann boundary conditions in a smoothly bounded domain Ω⊂ℝn(n≥1), where the parameters χ,ξ,α,β,γ,δ,ρ,a1,a2,b1,b2 are positive, D1(u) and D2(v) are nonlinear
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Novel intelligent Bayesian computing networks for predictive solutions of nonlinear multi-delayed tumor oncolytic virotherapy systems Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-26 Nabeela Anwar, Iftikhar Ahmad, Adiqa Kausar Kiani, Muhammad Shoaib, Muhammad Asif Zahoor Raja
Oncolytic viral immunotherapy is gaining considerable prominence in the realm of chronic diseases treatment and rehabilitation. Oncolytic viral therapy is an intriguing therapeutic approach due to its low toxicity and dual function of immune stimulations. This work aims to design a soft computing approach using stupendous knacks of neural networks (NNs) optimized with Bayesian regularization (BR),
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Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator–prey systems Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-26 Heng Liu, Mei Zhong, Jinde Cao, Chengdai Huang
Reinforcement learning as an effective strategy is widely utilized in optimal control. However, when updating critic–actor weight vectors based on the square of Bellman residual, it often leads to substantial computational complexity. This paper formulates a compound learning optimal backstepping control programme that can efficaciously reduce the computational burden for fractional-order predator–prey
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Stability and spatially inhomogeneous patterns induced by nonlocal prey competition in a generalist predator–prey system Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-26 Shuyang Xue, Feng Yang, Yongli Song
In this paper, we investigate the influence of the nonlocal prey competition on the spatio-temporal dynamics for a generalist predator–prey system. The condition of stability and bifurcations is clearly determined. Our results show that when the prey spreads quickly, the nonlocal intraspecific competition of the prey does not affect the dynamics, however, when the prey spreads slowly, it can affect
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Projective synchronization of a nonautonomous delayed neural networks with Caputo derivative Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-20 Changyou Wang, Zongxin Lei, Lili Jia, Yuanhua Du, Qiuyan Zhang, Jun Liu
In this paper, the projective synchronization problem of nonautonomous neural networks with time delay and Caputo derivative is researched. First, by introducing time delay and variable coefficient into the known neural network model, the neural network that can more accurately describe the interaction between neurons is given. Second, based on the improved neural network model, two global synchronization
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Global dynamics of a hybrid Cholera model with phage–bacteria interaction Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-15 Zhenxiang Hu, Linfei Nie
We propose, in this paper, a hybrid Cholera transmission model with phage to simulate the interaction between Vibrio cholerae and phages in the host population and environment, which is coupled with some reaction–diffusion equations and first-order partial differential equations. The precise formulation of basic reproduction number (ℛ0) is deduced, which characterizes the elimination or prevalence
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Stationary distribution and density function analysis of stochastic SIQS epidemic model with Markov chain Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-14 Yusi Cao, Jing Fu
In this paper, a stochastic SIQS epidemic model perturbed by both white and telephone noises is investigated. By constructing several suitable Lyapunov functions, we obtain sufficient conditions for the existence of ergodic stationary distribution of the positive solution. Moreover, by solving the Fokker–Planck equation, we obtain the exact expression of probability density function around the quasi-equilibrium
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Tuberculosis transmission with multiple saturated exogenous reinfections Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-14 Saduri Das, Prashant K. Srivastava, Pankaj Biswas
In this paper, a nonlinear mathematical model for tuberculosis transmission, which incorporates multiple saturated exogenous reinfections, is proposed and explored. The existence of disease-free and endemic steady states is investigated. Disease-free equilibrium (DFE) is locally asymptotically stable (LAS) but not globally asymptotically stable (GAS) when the basic reproduction number, ℛ0<1. However
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Traveling wave solutions for a three-component noncooperative systems arising in nonlocal diffusive biological models Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-14 Ran Zhang, Hongyong Zhao
This paper aims to study the existence of traveling wave solutions (TWS) for a three-component noncooperative systems with nonlocal diffusion. Our main results reveal that when a threshold ℜ>1, there exists a critical wave speed c∗>0. By using sub- and super-solution methods and Schauder’s fixed point theorem, we prove that the system admits a nontrivial TWS for each c≥c∗. Meanwhile, we show that there
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Bifurcations and steady states of a predator–prey model with strong Allee and fear effects Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-13 Mengxin Chen, Xuezhi Li, Ranchao Wu
In this paper, the predator–prey model with strong Allee and fear effects is considered. The existence of the equilibria and their stability are established. Especially it is found that there is an interesting degenerate point, which is a cusp point with codimension 2 or higher codimension, or an attracting (repelling)-type saddle-node, subject to different conditions. Then the Hopf bifurcation and
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Dynamical behavior analysis of an eighth-order Sharma’s method Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-09 Xiaofeng Wang, Xiaohe Chen, Wenshuo Li
We analyze the dynamical behavior of an eighth-order Sharma’s iterative scheme, which contains a single parameter, with respect to an arbitrary quadratic polynomial using complex analysis. The eighth-order Sharma’s iterative scheme is analytically conjugated to a rational operator on the Riemann sphere. We discuss the strange fixed points of the rational operator and present its stable region graph
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Bifurcation analysis of a delayed reaction–diffusion–advection Nicholson’s blowflies equation Int. J. Biomath. (IF 2.2) Pub Date : 2023-09-06 Mengfan Tan, Chunjin Wei, Junjie Wei
In this paper, we investigate the dynamics of a reaction-diffusion Nicholson’s blowflies equation with advection. The stability of positive steady state and existence of Hopf bifurcation are obtained by analyzing the distribution of the eigenvalues. Moreover, by using the center manifold theory and normal form method, an explicit algorithm for determining the direction and stability of the Hopf bifurcation
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Bifurcation analysis and global sensitivity index for malaria disease transmission dynamics: Information and treated bed nets control Int. J. Biomath. (IF 2.2) Pub Date : 2023-08-28 Michael O. Adeniyi, Asimi A. Amalare, Segun I. Oke, Sulyman O. Salawu
Malaria is known globally as the foremost cause of death in children and adults. Several intervention strategies and controls have been implemented and proposed, among which is Long Lasting Insecticide Treated Nets (LLINs). Malaria cases have been reported to reduce by 50% due to the use of LLINs. However, the laid-back behaviors of humans negatively impact its effective use through improper handling
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On the investigation of a one-dimensional blood flow model in elastic arteries under symmetry analysis Int. J. Biomath. (IF 2.2) Pub Date : 2023-08-25 Sumanta Shagolshem, B. Bira, D. Zeidan
In this paper, we consider a one-dimensional model of blood flow along the compliant arteries. With the help of the invariant function, we construct and classify the optimal system of subalgebras. Next, we reduced the given system of partial differential equations (PDEs) to the system of ordinary differential equations (ODEs) for each subalgebra and subsequently solved them exactly. Further, we investigate