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
研究一类具有时滞和非线性增长率的2个种群相互竞争的动力学模型,首先讨论时滞为零时系统平衡点的存在性和稳定性,其次判断时滞对于平衡点稳定性的影响,得出产生Hopf分支的条件,最后进行数值模拟,对所得结论进行验证.
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引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据