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