Bifurcation analysis of a delayed diffusive predator–prey model with spatial memory and toxins

被引：0
作者：
Ming Wu
Hongxing Yao
机构：
[1] Jiangsu University,School of Mathematical Sciences
[2] Faculty of Science,undefined
[3] Jinling Institute of Technology,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2024年 / 75卷
关键词：
Toxins; Predator–prey; Stability; Delay; Hopf bifurcation; 93D40; 35C07; 92D30;
D O I：
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学科分类号：
摘要：
In this paper, we propose a diffusive predator–prey model with two delays, i.e., a spatial memory delay and a toxic effect delay. Initially, we analyze the global existence of the solution of the system. We then analyze the equilibria’s local stability without delays and investigate the Hopf bifurcation induced by one delay. Subsequently, we establish an analytical framework for constructing the stability switching curve in the delay space. Finally, we present numerical simulations to validate the theoretical results and verify the emergence of various spatial patterns in the system.
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