THE STABILITY AND BIFURCATION OF HOMOGENEOUS DIFFUSIVE PREDATOR-PREY SYSTEMS WITH SPATIO-TEMPORAL DELAYS

被引：3

作者：

Tao, Yiwen ^{[1
]}

Ren, Jingli ^{[1
]}

机构：

[1] Zhengzhou Univ, Henan Acad Big Data, Sch Math & Stat, Zhengzhou 450001, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Spatio-temporal delay; diffusion; stability; bifurcation; predator prey; ASYMPTOTIC PROFILES; MODEL; DYNAMICS; CONVERGENCE; COMPLEXITY; PLANKTON; FRONTS; STATES;

D O I：

10.3934/dcdsb.2021038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a generalized predator-prey system described by a reaction-diffusion system with spatio-temp oral delays. We study the local stability for the constant equilibria of predator-prey system with the generalized delay kernels. Moreover, using the specific delay kernels, we perform a qualitative analysis of the solutions, including existence, uniqueness, and boundedness of the solutions; global stability, and Hopf bifurcation of the nontrivial equilibria.

引用

页码：229 / 243

页数：15

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