摘要
考虑了一个具有三时滞的捕食-被捕食系统.通过考虑τ1作为分支参数和分析了相应的特征方程,发现系统对于时滞在某些区间上是条件稳定的,并且当τ1穿过某些临界值时Hopf分支会发生.最后,通过一个数值例子来验证本文的理论分析.
In this paper,we consider a predator-prey system with three delays.By regarding the delay τ1 as the bifurcation parameter and analyzing the associated characteristic equation,we found that the system is conditionally stable for the delay in some interval and Hopf bifurcation could occur when τ1 crosses some critical values.A numerical example is also worked out to verify the theoretical analysis.
出处
《新疆大学学报（自然科学版）》
CAS
2011年第4期439-445,共7页
Journal of Xinjiang University(Natural Science Edition)
基金
Supported by The National Science Foundation of P.R.China(10961022)
关键词
条件稳定
HOPF分支
时滞
Conditionally stable
hopf bifurcation
delay
