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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

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 and bifurcation for a stochastic differential algebraic Holling-Ⅱ predator-prey model with nonlinear harvesting and delay: 《International Journal of Biomathematics》2021年第4期67-84,共18页Yantao Luo Long Zhang Zhidong Teng Tingting Zheng; This work was supported by the Natural Science Foundation of China(Grant Nos.11861065,11771373 and 11961066);the Natural Science Foundation of Xinjiang Province of China(Grant No.2019D01C076);The Doctoral innovation project of Xinjiang University(XJUBSCX-2017005);the graduate research innovation project of Xinjiang Province(XJ2019G007);the China Scholarship Council under a joint-training program at Memorial University of Newfoundland(201907010023).; In this paper,a stochastic delayed differential algebraic predator-prey model with Michaelis-Menten-type prey harvesting is proposed.Due to the influence of gestation delay and stochastic fluctuations,the proposed mod...; 关键词：Differential algebraic stochastic fluctuation PREDATOR-PREY DELAY HARVEST

Optimal control of a diffusive eco-epidemiological predator-prey model: 《International Journal of Biomathematics》2020年第7期183-204,共22页Xuebing Zhang Guanglan Wang Honglan Zhu; supported by the National Science Foundation of China under Grants 11926357;also supported by the Startup Foundation for Introducing Talent of NUIST.; In this study,we investigate the optimal control problem for a diffusion eco-epidemiological predator-prey model.We applied two controllers to this model.One is the separation control,which separates the uninfected pr...; 关键词：DIFFUSION optimal control PREDATOR-PREY

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

Global Stability of A Stochastic Predator-prey Model with Stage-structure: 《Chinese Quarterly Journal of Mathematics》2017年第4期425-431,共7页BAI Hong-fang XU Rui; Supported by the National Natural Science Foundation of China(Nos.11371368);The Natural Science Foundation of HeBei(No.A2014506015); In this paper, a stochastic predator-prey model with stage structure for predatorand ratio-dependent functional response is concerned. Sufficient conditions for the globalasymptotic stability of positive equilibrium a...; 关键词：STOCHASTIC PREDATOR-PREY model STAGE-STRUCTURE global stability Ito's FORMULA

Complex dynamic behaviors of a discrete predator-prey model with stage structure and harvesting被引量：2: 《International Journal of Biomathematics》2017年第1期233-257,共25页Boshan Chen 3iejie Chen; First, a discrete stage-structured and harvested predator-prey model is established, which is based on a predator-prey model with Type III functional response. Then the~ oretical methods are used to investigate existe...; 关键词：Stability flip bifurcation Neimark-Sacker bifurcation CHAOS discrete dyna-mical system predator-prey model harvesting.

Bifurcation analysis in a predator-prey model for the effect of delay in prey: 《International Journal of Biomathematics》2016年第4期219-237,共19页Qiubao Wang; In this paper, we study dynamics in a predator-prey model with delay, in which predator can be infected, with particular attention focused on nonresonant double Hopf bifurca- tion. By using center manifold reduction m...; 关键词：PREDATOR-PREY DELAY double Hopf bifurcation.

ASYMPTOTIC SOLUTION TO SINGULARLY PERTURBED DELAYED EQUATION FOR PREDATOR-PREY MODEL: 《Annals of Differential Equations》2014年第4期424-431,共8页Na Wang Jianqiang Xu Lian Chen; supported by NSF of China(No.11401385); A kind of singularly perturbed delayed equation for predator-prey system is consi- dered. According to the boundary layer function method and the singular perturbation theory, we construct an asymptotic expansion of t...; 关键词：singular perturbation delay PREDATOR-PREY approximate solution

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