黑龙江科技大学学报2024，Vol.34Issue(3)：481-486,6.DOI:10.3969/j.issn.2095-7262.2024.03.023
一类时滞捕食-食饵系统的全局Hopf分支
Global Hopf bifurcation for a delayed apredator-prey systems
王麟1
作者信息
- 1. 黑龙江科技大学 理学院,哈尔滨 150022
- 折叠
摘要
Abstract
This paper aims to solve the global existence problem of periodic solutions for population dynamics models.The study taking a kind of time delayed predator-prey model as the subject,chooses the delay τ as a bifurcation parameter,and studies the stability of positive equilibrium and Hopf bifurca-tion.The research shows that the local Hopf bifurcation can occur in system near the positive equilibrium point as τ crosses some critical values.The direction of the Hopf bifurcation and the stability of the bifur-cation periodic solutions can be determined by using the central manifold and normal form theory.The ex-istence of global Hopf bifurcation is proved based on topological theory.关键词
捕食-食饵模型/时滞/Hopf分支Key words
predator-prey model/time delay/Hopf bifurcation分类
数理科学引用本文复制引用
王麟..一类时滞捕食-食饵系统的全局Hopf分支[J].黑龙江科技大学学报,2024,34(3):481-486,6.
