应用数学2024，Vol.37Issue(4)：952-961,10.
具有弱Allee效应的三斑块捕食-食饵扩散模型动力学分析
Dynamic Analysis of Three-Patch Predator-Prey Diffusion Model with Weak Allee Effect
摘要
Abstract
A three-patch predator-prey diffusion model with the weak Allee effect is established.And the Allee effect of prey and the influence of prey diffusion on the existence and stability of the positive equilibrium point of the model are studied.Firstly,the sufficient condition for the model to permanence is analyzed.Secondly,a new Lyapunov function is constructed by applying graph theory,and the positive equilibrium point of the model is a sufficient condition for global asymptotic stability.Finally,Matlab software is used to verify the analysis results.关键词
捕食-食饵模型/斑块/Allee效应/永久持续生存/全局渐近稳定Key words
Predator-prey model/Patch/Allee effect/Permanence/Global asymptotic stability分类
数理科学引用本文复制引用
朱兆镭,杨志春,周伟松..具有弱Allee效应的三斑块捕食-食饵扩散模型动力学分析[J].应用数学,2024,37(4):952-961,10.基金项目
国家自然科学基金面上项目(11971081) （11971081）
重庆英才创新领军人才计划项目(cstc2024ycjh-bgzxm0046) （cstc2024ycjh-bgzxm0046）
重庆师范大学数学学院开放课题项目(CSSXKFKTM202007) （CSSXKFKTM202007）
重庆市科委一般项目(cstc2020jcyj-msxmX0593,cstc2019jcyj-msxmX0716) （cstc2020jcyj-msxmX0593,cstc2019jcyj-msxmX0716）
重庆市教委项目(KJQN202000601,KJQN201900619) （KJQN202000601,KJQN201900619）
