WANG Hui, LI Dong-mei, GUO Xiu-wei. Persistence and Global Stability of Lotka-Volterra Predator-prey System with Time Delay[J]. 2009, 14(6): 73-76.DOI:
一类具有时滞的Lotka-Volterra捕食系统的持久性与全局稳定性
摘要
本文研究一类具有时滞的Lotka-Volterra捕食系统.证明了系统在一定条件下是持续生存的
并通过构造适当的Lyapunov泛函
给出了系统全局稳定的充分条件.
Abstract
In this paper
we consider the permanence and global stability of Lotka-Volterra predator-prey system with time delay.The uniform permanence of the system under certain conditions is proved
and by constructing appropriate Lyapunov function
sufficient conditions are obtained to ensure the global stability of the system.