Bifurcation analysis of a diffusive predator-prey model with hyperbolic mortality and prey-taxis

作     者：Yan Li Zhiyi Lv Fengrong Zhang Hui Hao 

作者机构：College of ScienceChina University of Petroleum(East China)Qingdao 266580P.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2024年第17卷第1期

页      面：251-264页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Natural Science Foundation of Shandong Province China(Nos.ZR2021MA028 and ZR2021MA025) 

主　　题：Predator-prey model prey-taxis Hopf bifurcation steady state bifurcation 

摘      要：In this paper,we study a diffusive predator-prey model with hyperbolic mortality and prey-taxis under homogeneous Neumann boundary *** first analyze the influence of prey-taxis on the local stability of constant *** turns out that prey-taxis has influence on the stability of the unique positive constant equilibrium,but has no influence on the stability of the trivial equilibrium and the semi-trivial *** then derive Hopf bifurcation and steady state bifurcation related to prey-taxis,which imply that the prey-taxis plays an important role in the dynamics.