一类时滞非自治Lotka-Volterra竞争系统的灭绝性

Extinction on Nonautonomous Lotka-Volterra Type Competitive Systems with Delay

讨论一类具有离散时滞和连续分布时滞的Lotka-Volterra系统,通过构造Lyapunov函数并引入上下平均的概念,将[3]和[6]的方法结合在一起,得到比[6]种群灭绝条件弱的充分条件,同时把文献[3]的结果推广到了时滞非自治系统上.

In this paper,we consider the nonautonomous N-species Lotka-Volterra type competitive systems with discrete delay and continuous delay.The average conditions on the coefficients are obtained to guarantee that part of the species in the systems（1） are extinction by constructing proper Lyapunov function.The result of this chapter is a extension to[3].In[6], extinction of system（1） is also considered,but the results we obtained in the chapter are weaker than[6].