云南高校图书馆联盟文献共享服务平台- PREDATOR-PREY

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Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms: 《Chinese Annals of Mathematics,Series B》2024年第2期297-318,共22页Guoqiang REN Bin LIU; supported by the National Natural Science Foundation of China(Nos.12001214,12231008);the Fundamental Research Funds for the Central Universities(No.3004011139)。; In this paper the author investigates the following predator-prey model with prey-taxis and rotational?ux terms■in a bounded domain with smooth boundary.He presents the global existence of generalized solutions to th...; 关键词：PREDATOR-PREY Prey-taxis Giopal existence Kotational flnux

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

Global Stability of a Three-Species System with Attractive Prey-Taxis: 《Applied Mathematics》2022年第8期658-671,共14页Mengxin Chen Qianqian Zheng; This paper reports the global asymptotic stability of a three-species predator-prey system involving the prey-taxis. With the assumptions, we establish the global asymptotic stability results of its equilibria, respec...; 关键词：Predator-Prey Model Global Asymptotic Stability Prey-Taxis Lyapunov Function

Stability and Bifurcation Analysis of a Predator-Prey Model with Michaelis-Menten Type Prey Harvesting: 《Journal of Applied Mathematics and Physics》2022年第2期504-526,共23页Wenchang Chen; In this paper, we investigated stability and bifurcation behaviors of a predator-prey model with Michaelis-Menten type prey harvesting. Sufficient conditions for local and global asymptotically stability of the interi...; 关键词：Michaelis-Menten Type Prey Harvesting Stability Bifurcation Limit Cycle

Dynamics of stochastic predator-prey models with distributed delay and stage structure for prey被引量：2: 《International Journal of Biomathematics》2021年第4期85-120,共36页Qun Liu Daqing Jiang Tasawar Hayat; This work is supported by the National Natural Science Foundation of China(Nos.12001090,11871473);Shandong Provincial Natural Science Foundation(No.ZR2019MA010);the Fundamental Research Funds for the Central Universities of China(No.2412020QD024).; In this paper,we analyze two stochastic predator-prey models with distributed delay and stage structure for prey.For the nonautonomous periodic case of the model,by using Khasminskii’s theory of periodic solution,we ...; 关键词：Stochastic predator-prey model stage structure distributed delay periodic solution positive recurrence

On the Dynamics of a Stochastic Ratio-Dependent Predator-Prey System with Infection for the Prey被引量：2: 《Open Journal of Applied Sciences》2021年第4期440-457,共18页Jiying Ma Haimiao Ren; In this paper, we investigate the dynamics of a stochastic predator-prey model with ratio-dependent functional response and disease in the prey. Firstly, we prove the existence and uniqueness of the positive solution ...; 关键词：Stochastic Predator-Prey Model RATIO-DEPENDENT Stationary Distribution EXTINCTION

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

THE STABILITY OF A PREDATOR-PREY MODEL WITH FEAR EFFECT IN PREY AND SQUARE ROOT FUNCTIONAL RESPONSE被引量：1: 《Annals of Applied Mathematics》2020年第2期186-194,共9页Ying Huang Zhong Li; In this paper, we consider a predator-prey model with fear effect and square root functional response. We give the singularity of the origin and discuss the stability and Hopf bifurcation of the trivial equilibrium an...; 关键词：PREDATOR-PREY fear effect stability Hopf bifurcation

ON A MULTI-DELAY LOTKA-VOLTERRA PREDATOR-PREY MODEL WITH FEEDBACK CONTROLS AND PREY DIFFUSION被引量：3: 《Acta Mathematica Scientia》2019年第2期429-448,共20页Changyou WANG Nan LI Yuqian ZHOU Xingcheng PU Rui LI; supported by the Sichuan Science and Technology Program of China(2018JY0480);the Natural Science Foundation Project of CQ CSTC of China(cstc2015jcyjBX0135);the National Nature Science Fundation of China(61503053); This article is focusing on a class of multi-delay predator-prey model with feedback controls and prey diffusion. By developing some new analysis methods and using the theory of differential inequalities as well as co...; 关键词：PREDATOR-PREY model: delay diffusion: PERMANENCE ATTRACTIVITY periodic solution

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