云南高校图书馆联盟文献共享服务平台- PREDATOR-PREY

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A Delayed Predator-Prey Model with Fear Effect and Cannibalism: 《Journal of Applied Mathematics and Physics》2025年第2期506-524,共19页Guoqing Li Xiaolin Lin Shaoyi Geng; In this paper, we consider the fear effect and gestation delay, and then establish a delayed predator-prey model with cannibalism. Firstly, we prove the well-posedness of the model. Secondly, the existence and stabili...; 关键词：Predator-Prey Model Fear Effect CANNIBALISM Stability Hopf Bifurcation

Qualitative Analysis of a Diffusive Predator-prey Model with Nonlcoal Fear Effect: 《数学理论与应用》2024年第3期67-82,共16页Shen Zhongyuan Zhang Xuebing Li Shunjie; supported by the National Natural Science Foundation of China (No.12271261);the National Undergraduate Training Program for Innovation and Entrepreneurship (No.202310300044Z)。; In this paper,we establish a delayed predator-prey model with nonlocal fear effect.Firstly,the existence,uniqueness,and persistence of solutions of the model are studied.Then,the local stability,Turing bifurcation,and...; 关键词：Delay Nonlocal fear effect Global stability Hopf bifurcation

Global Dynamics in a Predator-Prey Model with Allee Effect: 《Journal of Applied Mathematics and Physics》2024年第7期2377-2385,共9页Tianjing Wang Fuqin Sun; Since the last century, various predator-prey systems have garnered widespread attention. In particular, the predator-prey systems have sparked significant interest among applied mathematicians and ecologists. From th...; 关键词：Bazykin Allee Effect Hopf Bifurcation

Bifurcation and Turing Pattern Formation in a Diffusion Modified Leslie-Gower Predator-Prey Model with Crowley-Martin Functional Response: 《Journal of Applied Mathematics and Physics》2024年第6期2190-2211,共22页Dong Wang Yani Ma; In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term....; 关键词：Modified Leslie-Gower Model Crowley-Martin Function Response Hopf Bifurcation Transcritical Bifurcation Turing Instability

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

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

Stability Analysis and Hopf Bifurcation for ODE System of Predator-Prey Model with Mutual Interference被引量：3: 《Applied Mathematics》2021年第9期793-802,共10页Khalid Ahmed Abbakar Yafei Yang Alhussein Mohamed Songchen Xia Mogahid Mamoon Abkar Omer Bushra Elfadil Hassan; In this paper, the temporal and spatial patterns of a diffusive predator-prey model with mutual interference under homogeneous Neumann boundary conditions were studied. Specifically, first, taking the intrinsic growth...; 关键词：Predator-Prey Model Mutual Interference Hopf Bifurcation Functional Response

Hopf bifurcation analysis of predator—prey model with two delays and disease transmission被引量：1: 《International Journal of Biomathematics》2020年第7期263-295,共33页Renxiang Shi; In this paper,we study the Hopf bifurcation of predator-prey system with two delays and disease transmission.Furthermore,the global existence of bifurcated periodic solution was studied,the influence of disease transm...; 关键词：Predator-prey model DELAYS limit cycle Hopf bifurcation

Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay被引量：2: 《International Journal of Biomathematics》2020年第6期1-21,共21页Xin Jiang Ran Zhang Zhikun She; This work was supported by Beijing Natural Science Foundation(Z180005);the National Natural Science Foundation of China(11422111);the Academic Excellence Foundation of BUAA for Ph.D.Students.; In this paper,we investigate the qualitative behaviors of a predator–prey system with ratio-dependent function.The system accommodates the diffusion effect to model the migration of individuals and the time delay ind...; 关键词：Predator-prey model diffusive time delay global asymptotical stability Hopf bifurcation

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