山西大学学报（自然科学版）2024，Vol.47Issue(1)：140-154,15.DOI:10.13451/j.sxu.ns.2022084
具时滞和收获项的捕食-食饵系统Hopf分支分析
Hopf Bifurcation Analysis of Predator-Prey System with Time Delay and Harvest Terms
摘要
Abstract
For a class of predator-prey system with Leslie-Gower functional response function,the global stability of the equilibrium point of the system is analyzed by using the delays τ1,τ2 bifurcation parameter comparison theory,and the local stability of the posi-tive equilibrium point of the system,the conditions and branching direction of Hopf branching at the positive equilibrium point are analyzed by using the gauge theory and the judgment of the positive and negative real parts of the characteristic root.Finally,ac-cording to the global branching theory,the stability conclusion of local Hopf bifurcation is extended to the whole,and the correct-ness of the conclusion is verified by numerical simulation.关键词
时滞/Leslie-Gower捕食-食饵系统/Hopf分支/稳定性/周期解Key words
time delays/Leslie-Gower predator-prey system/Hopf bifurcation/stability/periodic solutions分类
数理科学引用本文复制引用
吕堂红,王菲,周林华..具时滞和收获项的捕食-食饵系统Hopf分支分析[J].山西大学学报（自然科学版）,2024,47(1):140-154,15.基金项目
国家自然科学基金(11426045) （11426045）
吉林省自然科学基金(20180101229JC) （20180101229JC）
