摘要
构建了具有时滞收获的单种群模型,以时滞为参数,分别在单时滞和两时滞情况下,分析了系统正平衡点发生局部Hopf分支和稳定性切换的条件。数值例子验证了理论结果,展示了自然Hopf分支、条件Hopf分支、稳定性切换等动力学现象,为生物种群的时滞控制提供了理论基础。
A single population model with time delayed harvesting is established.Taking time delays as parameters,the conditions for the positive equilibrium occurring local Hopf bifurcation and stability switches are given,in a single delay and two delays cases,respectively.Numerical examples support the theoretical results and show complex dynamical phenomenon such as natural Hopf bifurcation,condition Hopf bifurcation and stability switches.This provides a theoretical basis for the time delay control of biological populations.
作者
李顺异
LI Shun-yi(School of Mathematics and Statistics,Qiannan Normal University for Nationalities,Duyun 558000,Guizhou,China)
出处
《黔南民族师范学院学报》
2019年第4期1-6,共6页
Journal of Qiannan Normal University for Nationalities
基金
贵州省自然科学基金“害虫防治的时滞—脉冲微分方程建模与分析”(黔科合基础[2016]1135)
贵州省科技厅联合基金“具时滞收获作用的单种群动力系统研究”(黔科合LH字[2014]7437)阶段性成果
关键词
单种群模型
时滞收获
HOPF分支
稳定性切换
single population model
delayed harvesting
Hopf bifurcation
stability switches
