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Bifurcations and steady states of a predator-prey model with strong Allee and fear effects: 《International Journal of Biomathematics》2024年第7期143-185,共43页Mengxin Chen Xuezhi Li Ranchao Wu; supported by the National Natural Science Foundation of China(Nos.11971032 and 12271143);the China Postdoctoral Science Foundation(No.2021M701118).; 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...; 关键词：Predator-prey model BIFURCATION fear effect Allee effect

Dynamical analysis and chaos control of a fractional-order Leslie-type predator-prey model with Caputo derivative: 《International Journal of Biomathematics》2024年第4期105-131,共27页Seval Isik Figen Kangalgil; In this paper,the dynamical behaviors of a discrete-time fractional-order population model are considered.The stability analysis and the topological classification of the model at the fixed point have been investigate...; 关键词：FRACTIONAL-ORDER predator-prey model DISCRETIZATION BIFURCATION CHAOS

Bifurcations,chaos analysis and control in a discrete predator-prey model with mixed functional responses: 《International Journal of Biomathematics》2024年第3期185-210,共26页Yajie Sun Ming Zhao Yunfei Du; supported by the National Natural Science Foundation of China(No.12001503);the Project of Beijing Municipal Commission of Education(KM 202110015001)。; Many discrete systems have more distinctive dynamical behaviors compared to continuous ones,which has led lots of researchers to investigate them.The discrete predatorprey model with two different functional responses...; 关键词：Predator-prey model flip bifurcation Neimark-Sacker bifurcation Marotto's chaos chaos control

Global dynamics of a Leslie-Gower predator-prey model in open advective environments: 《International Journal of Biomathematics》2024年第3期241-264,共24页Baifeng Zhang Guohong Zhang Xiaoli Wang; supported by the National Natural Science Foundation of China(11871403);Fundamental Research Funds for the Central Universities(XDJK2020B050).; This paper investigates the global dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey model in open advective environments.We find that there exist critical advection rates,intrinsic growth rates,di...; 关键词：Leslie Gower predator-prey system advection global dynamics COEXISTENCE EXTINCTION

Influence of toxic substances on dynamical behavior of a delayed diffusive predator-prey model: 《International Journal of Biomathematics》2024年第2期177-200,共24页Honglan Zhu Xuebing Zhang Hao Zhang; supported by the National Natural Science Foundation of China(71874067);Jiangsu Province Post Doctoral Fund(2020Z217);the Agricultural Science and Technology Independent Innovation Fund of Jiangsu Province(CX(20)3074);the Six Industry Talent Peak Project fund of Jiangsu Province(RJFW-049 and JNHB-115).; In this paper,we propose and investigate a delayed diffusive predator-prey model affected by toxic substances.We first study the boundedness and persistence property of the model.By analyzing the associated characteri...; 关键词：TOXICANT DELAY DIFFUSION BIFURCATION spatial pattern

Bifurcation analysis of a diffusive predator-prey model with hyperbolic mortality and prey-taxis: 《International Journal of Biomathematics》2024年第1期251-264,共14页Yan Li Zhiyi Lv Fengrong Zhang Hui Hao; supported by the Natural Science Foundation of Shandong Province,China(Nos.ZR2021MA028 and ZR2021MA025).; In this paper,we study a diffusive predator-prey model with hyperbolic mortality and prey-taxis under homogeneous Neumann boundary condition.We first analyze the influence of prey-taxis on the local stability of const...; 关键词：Predator-prey model prey-taxis Hopf bifurcation steady state bifurcation

The impact of fear effect on the dynamics of a delayed predator-prey model with stage structure: 《International Journal of Biomathematics》2023年第8期263-296,共34页Qi Cao Guotai Chen Wensheng Yang; supported by the Natural Science Foundation of China(11672074);the Natural Science Foundation of Fujian Province(2022J01192).; In this paper,a stage structure predator-prey model consisting of three nonlinear ordinary differential equations is proposed and analyzed.The prey populations are divided into two parts:juvenile prey and adult prey.F...; 关键词：Stage-structure model fear effect time delay Hopf bifurcation

Analytical bifurcation and strong resonances of a discrete Bazykin-Berezovskaya predator-prey model with Allee effect: 《International Journal of Biomathematics》2023年第8期155-190,共36页Sanaa Moussa Salman A.A.Elsadany; This paper investigates multiple bifurcations analyses and strong resonances of the Bazykin-Berezovskaya predator-prey model in depth using analytical and numerical bifurcation analysis.The stability conditions of fix...; 关键词：Bazykin Berezovskaya model Neimark-Sacker bifurcation fip bifurcation transcritical bifurcation strong resonances bifurcation

Hopf bifurcation of a delayed predator-prey model with Allee effect and anti-predator behavior: 《International Journal of Biomathematics》2023年第7期111-139,共29页Xinyue Xu Yan Meng Yangyang Shao; This work is jointly supported by the National traditional Medicine Clinical Research Base Business Construction Special Topics(JDZX2015299);the Fundamental Research Funds for the Central University FRF-BR-16-019A.; This paper proposes a diffusive predator-prey model with Allee effect,time delay and anti-predator behavior.First,the existence and stability of all equilibria are analyzed and the conditions for the appearance of the...; 关键词：PREDATOR-PREY Hopf bifurcation delay and diffusion Allee effect numerical simulation

Persistence and periodic measure of a stochastic predator-prey model with Beddington-DeAngelis functional response被引量：1: 《International Journal of Biomathematics》2023年第6期175-207,共33页Jiangtao Yang; The research is supported by Scientific and Technological Research Program of Chongqing Municipal Education Commission(KJQN202001401 and KJQN202201419).; In this paper,we study a stochastic predator-prey model with Beddington-DeAngelis functional response and time-periodic coefficients.By analyzing the stability of the solution on the boundary and some stochastic estim...; 关键词：Predator-prey model stochastic perturbation PERSISTENCE EXTINCTION periodic measure

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