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

被引：2
|
作者：
Li, Yan [1 ]
Lv, Zhiyi [1 ]
Zhang, Fengrong [1 ]
Hao, Hui [1 ]
机构：
[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2024年 / 17卷 / 01期
关键词：
Predator-prey model; prey-taxis; Hopf bifurcation; steady state bifurcation; GLOBAL BIFURCATION; STEADY-STATES; SYSTEM; STABILITY; PATTERNS;
D O I：
10.1142/S1793524523500110
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
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.
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收藏
页数：14
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