摘要
本文考虑具有连续时滞的Lotka-Volterra竞争系统。给出了该系统的稳定性分析。利用Hopf分支定理,我们证明了由时滞引起的不稳定性可以导致系统产生稳定的极限环。利用Birkhoff定理证明了系统可能出现循环解。最后,我们给出数值实例,验证了上述结果。
In this paper the qualitative analysis of a class of Lotka- Volterra competition systems with continuous time delays are given. First, we discuss the stabilities of the systems. Then using Hopf's bifurcation theorem and Birkhoffs theorem we show that the delay-induced-instability can lead to appearance of stable limit cycles and that the systems may have recurrent solutions. Finally, some numerical examples are given in order to illustrate the results mentioned above.
出处
《计算物理》
CSCD
北大核心
1991年第1期11-18,共8页
Chinese Journal of Computational Physics
关键词
连续时滞
竞争系统
分支
生态系统
competition system, continuous time delay, bifurcation.
