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
收藏
页码：229 / 243
页数：15
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