TITLE:
Global Stability for a Asymptotically Periodic Cooperative Lotka-Volterra System with Time Delays
AUTHORS:
Talat Tayir, Rouzimaimaiti Mahemuti
KEYWORDS:
Lotka-Volterra Cooperative System, Asymptotically Periodic Function, Global Asymptotic Stability, Time Delay
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.7 No.5,
May
31,
2017
ABSTRACT: In this paper a class of cooperative Lotka-Volterra population system with time delay is considered. Some sufficient conditions on the existence and globally asymptotically stability for the asymptotically periodic solution of the system are established by using the Lyapunov function method and the method given in Fengying Wei and Wang Ke (Applied Mathematics and Computation 182 (2006) 161-165).