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具有时滞的非线性增长率种群竞争模型分析

龙秋燕 黎莹 黄启华

重庆理工大学学报2024,Vol.38Issue(17):278-285,8.
重庆理工大学学报2024,Vol.38Issue(17):278-285,8.DOI:10.3969/j.issn.1674-8425(z).2024.09.033

具有时滞的非线性增长率种群竞争模型分析

Analysis of nonlinear growth rate population competition models with delays

龙秋燕 1黎莹 1黄启华1

作者信息

  • 1. 西南大学 数学与统计学院,重庆 400715
  • 折叠

摘要

Abstract

To study a class of dynamical models in which two populations with time lag and nonlinear growth rates compete with each other,the existence and stability of the equilibrium point of the system are discussed when the delay is zero.Then,the effect of the time lag on the stability of the equilibrium point is determined and the conditions that generate the Hopf branching are derived.Finally,numerical simulations are conducted to verify our results.

关键词

时滞/非线性增长率/Hopf分支/竞争模型

Key words

delay/nonlinear growth rate/Hopf bifurcation/competition model

分类

数理科学

引用本文复制引用

龙秋燕,黎莹,黄启华..具有时滞的非线性增长率种群竞争模型分析[J].重庆理工大学学报,2024,38(17):278-285,8.

基金项目

国家自然科学基金项目(12271445) (12271445)

重庆市研究生科研创新项目(CYS23183) (CYS23183)

重庆理工大学学报

OA北大核心

1674-8425

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