山西大学学报（自然科学版）2025，Vol.48Issue(5)：911-920,10.DOI:10.13451/j.sxu.ns.2025086
具有毒素沉积时滞的捕食者-食饵模型的Hopf分支
Hopf Bifurcation of a Predator-prey Model with Toxin Deposition Delay
摘要
Abstract
Toxins in the external environment are one of the key factors influencing population dynamics.When a population is ex-posed to environmental toxins,these toxins continuously accumulate within individuals until they trigger changes in population size.This process requires a certain period of time,known as the toxin deposition delay.In this paper,a reaction-diffusion predator-prey model with toxin deposition delay was established,and the conditions for the occurrence of Hopf bifurcation were obtained via the distribution of the roots of the characteristic equation.The rationality of the theoretical findings was validated by numerical simula-tions,which indicate that the stability and sustainable evolution of the predator-prey system are detrimentally affected by a larger tox-in deposition delay.This study reveals the influence patterns of toxin deposition delay on the dynamics of the predator-prey system,providing a theoretical foundation for investigating the effects of environmental toxins on the dynamical behavior of predator-prey systems.关键词
反应扩散系统/Leslie-Gower模型/周期解Key words
reaction-diffusion system/Leslie-Gower model/periodic solution分类
数理科学引用本文复制引用
王彩云,郭敏..具有毒素沉积时滞的捕食者-食饵模型的Hopf分支[J].山西大学学报（自然科学版）,2025,48(5):911-920,10.基金项目
山西省哲学社会科学规划课题(2021JY0055) （2021JY0055）
山西省应用基础研究项目(201801D221033) （201801D221033）
