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

作　　者：Yan Li Zhiyi Lv Fengrong Zhang Hui Hao 

机构地区：[1]College of Science,China University of Petroleum(East China)Qingdao 266580,P.R.China

出　　处：《International Journal of Biomathematics》2024年第1期251-264,共14页生物数学学报（英文版）

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

摘　　要：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 constant equilibria.It 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 equilibrium.We 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.

关 键 词：Predator-prey model prey-taxis Hopf bifurcation steady state bifurcation 

分 类 号：O17[理学—数学]