Persistence and Global Stability of Lotka-Volterra Predator-prey System with Time Delay
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Persistence and Global Stability of Lotka-Volterra Predator-prey System with Time Delay
Vol. 14, Issue 6, Pages: 73-76(2009)
作者机构:
哈尔滨理工大学应用科学学院
作者简介:
基金信息:
DOI:
CLC:O175.13
Published:2009
稿件说明:
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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:
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:
Persistence and Global Stability of Lotka-Volterra Predator-prey System with Time Delay
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.