Stability and bifurcation of a delayed diffusive predator-prey model affected by toxins-Reference-Cited by-同舟云学术

Stability and bifurcation of a delayed diffusive predator-prey model affected by toxins

Published:2023 Issue:9 Volume:8 Page:21943-21967
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Wu Ming¹²,Yao Hongxing¹

Affiliation:

1. School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, China

2. Faculty of Science, Jinling Institute of Technology, Nanjing 211169, China

Abstract

<abstract><p>In this work, a diffusive predator-prey model with the effects of toxins and delay is considered. Initially, we investigated the presence of solutions and the stability of the system. Then, we examined the local stability of the equilibria and Hopf bifurcation generated by delay, as well as the global stability of the equilibria using a Lyapunov function. In addition, we extract additional results regarding the presence and nonexistence of non-constant steady states in this model by taking into account the influence of diffusion. We show several numerical simulations to validate our theoretical findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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