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Global stability of a quasilinear predator-prey model with indirect pursuit-evasion interaction: 《International Journal of Biomathematics》2024年第8期147-174,共28页Chuanjia Wan Pan Zheng Wenhai Shan; supported by the National Natural Science Foundation of China(Grant Nos.11601053,12271064);the Science and Technology Research Project of Chongqing Municipal Education Commission(Grant No.KJZD-K202200602);the Natural Science Foundation of Chongqing(Grant No.CSTB2023NSCQ-MSX0099);the Hong Kong Scholars Program(Grant Nos.XJ2021042,2021-005)and the Young Hundred Talents Program of CQUPT in 2022-2024.; This paper deals with a predator-prey model with indirect prey-taxis and predator-taxis{u_(t)=■·(D_(1)(u)■u)-χ■·(S_(1)(u)■z)+u(αv-a_(1)-b_(1)u),x∈Ω,t>0,u_(t)=■·(D_(2)(v)■v)-ε■·(S_(1)(v)■w)+v(a_(2)-b_(...; 关键词：Predator-prey model QUASILINEAR global boundedness STABILIZATION

Global dynamics of a periodic viral infection model incorporating diffusion and antiretroviral therapy: 《International Journal of Biomathematics》2024年第6期211-242,共32页Jinhu Xu; This work was supported by the National Natural Science Foundation of China(#11701445);the Natural Science Basic Research Program in Shaanxi Province of China(2022JM-042,2022JM-038,2022JQ-033,2020JQ-831,2022JQ-043).; A new viral infection model with cell-to-cell infection and periodic antiretroviral therapy was proposed and analyzed.With the help of defined basic reproduction number Ro,we proved that if R_(0)<1,then the infection-...; 关键词：Periodic antiretroviral therapy cell-to-cell infection persistence theory global asymptotic stability LYAPUNOV global stability

Global analysis of a network-based SIR epidemic model with a saturated treatment function: 《International Journal of Biomathematics》2024年第6期269-291,共23页Xiaodan Wei; The research was supported in part by the NNSFC(grant 12071058);the Applied Basic Research Program of Department of Science and Technology of Liaoning Province of China(grant 2023JH2/101300095).; In this paper,we study a network-based SIR epidemic model with a saturated treatment function in which a parameterαis introduced to measure the extent of the effect of the infected being delayed for treatment.Our aim...; 关键词：SIR epidemic model complex network saturated treatment function global stability global attractivity

Spatial dynamics of a reaction-diffusion SIS epidemic model with mass-action-type nonlinearity: 《International Journal of Biomathematics》2024年第4期75-104,共30页Renhu Wang Xuezhong Wang; supported by the NNSF of China(Grant No.12061032).; This work is devoted to investigate the global asymptotic stability of equilibriums for a reaction-diffusion susceptible-infected-susceptible(SIS)epidemic model with spatial heterogeneity and mass-action-type nonlinea...; 关键词：DISCRETIZATION basic reproduction number Lyapunov functional global stability spatial heterogeneity

The global stability and optimal control of the COVID-19 epidemic model: 《International Journal of Biomathematics》2024年第1期1-28,共28页Fengsheng Chien Hassan Saberi Nik Mohammad Shiraziant J.F.Gomez-Aguilar; Jose Francisco Gomez Aguilar acknowledges the support provided by CONACyT:Catedras CONACyT para jovenes investigadores 2014 and SNI-CONACyT.; This paper considers stability analysis of a Susceptible-Exposed-Infected-Recovered-Virus(SEIRV)model with nonlinear incidence rates and indicates the severity and weakness of control factors for disease transmission....; 关键词：Global stability SEIRV epidemic model dynamical systems Volterra-Lyapunov stability optimal control

Modeling the transmission dynamics of a time-delayed epidemic model with saturated treatment rate: 《International Journal of Biomathematics》2023年第7期11-45,共35页Ranjit Kumar Upadhyay Sattwika Acharya; In this paper,an attempt has been made to explore a new delayed epidemiological model assuming that the disease is transmitted among the susceptible population and possessing nonlinear incidence function along with a ...; 关键词：Infectious disease treatment rate chaotic dynamics bifurcation theory incidence function transmission dynamics global stability optimal control

On a diffusive bacteriophage dynamical model for bacterial infections: 《International Journal of Biomathematics》2023年第7期47-89,共43页Hyacinthe M.Ndongmo Teytsa Berge Tsanou Jean Lubuma Samuel Bowong; The second author(B.T.),acknowledges the support of the University of Pretoria Senior Postdoctoral Program Grant(2018-2020).; Bacteriophages or phages are viruses that infect bacteria and are increasingly used to control bacterial infections.We develop a reaction-diffusion model coupling the interactive dynamic of phages and bacteria with an...; 关键词：Bacterial infections DIFFUSION NSFD PHAGE ABSORPTION global stability

The productivity of two serial chemostats: 《International Journal of Biomathematics》2023年第6期57-111,共55页Manel Dali-Youcef Tewfik Sari; This paper considers the production of biomass of two interconnected chemostats in series with biomass mortality and a growth kinetic of the biomass described by an increasing function.A comparison is made with the pr...; 关键词：CHEMOSTAT gradostat mortality BIFURCATIONS global stability operating diagram biomass productivity

Global dynamics in a model for anthrax transmission in animal populations: 《International Journal of Biomathematics》2023年第6期255-288,共34页Junli Liu Mengjie Han Tailei Zhang; This work was supported by the National Natural Science Foundation of China(11801431);the Natural Science Basic Research Plan in Shaanxi Province of China(2021JM-445,2022JM-023).; In this paper,we propose a deterministic model to study the transmission dynamics of anthrax disease,which includes live animals,carcasses,spores in the environment and vectors.We derive three biologically plausible a...; 关键词：ANTHRAX reproduction number global stability backward bifurcation Lyapunov function uniform persistence

Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach: 《International Journal of Biomathematics》2023年第5期23-47,共25页Ke-Lu Li Jun-Yuan Yang Xue-Zhi Li; supported by the National Natural Science Foundation of China (Nos.61573016 and 11771017);the Shanxi Province Science Foundation,China (Nos.201901D211413,20210302123454).; Eco-epidemiological model plays a crucial role in maintaining ecological balance and biological invasions.In this paper,we propose a predator-prey model where the predator population is infected by the disease.The non...; 关键词：Eco-epidemiological model Hopf bifurcation competitive and exclusion global stability

GLOBAL_STABILITY