吉林大学学报（理学版）2024，Vol.62Issue(4)：821-830,10.DOI:10.13413/j.cnki.jdxblxb.2023360
一类具有时滞的Leslie-Gower捕食-食饵模型的Hopf分支
Hopf Bifurcation of a Class of Leslie-Gower Predator-Prey Models with Time Delay
摘要
Abstract
Using the Hopf bifurcation theory,we studied a class of Leslie-Gower predator-prey models with time delay.Firstly,taking time delay as the bifurcation parameter,we discussed the stability of the positive equilibrium point of the model and the existence of Hopf bifurcation.Secondly,according to the normal form theory and center manifold theorem for partial differential equation,we derived the direction of Hopf bifurcation and the stability of bifurcation periodic solutions.Finally,we used MATLAB for numerical simulations.关键词
时滞/Leslie-Gower模型/Hopf分支/稳定性Key words
time delay/Leslie-Gower model/Hopf bifurcation/stability分类
数理科学引用本文复制引用
袁海龙,樊雨,李一多..一类具有时滞的Leslie-Gower捕食-食饵模型的Hopf分支[J].吉林大学学报（理学版）,2024,62(4):821-830,10.基金项目
国家自然科学基金(批准号:11901370)、陕西省自然科学基础研究计划项目(批准号:2019JQ-516)、陕西省教育厅专项科研计划项目(批准号:19JK0142)和陕西省科协人才托举项目(批准号:20200508). （批准号:11901370）
