WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Positive Periodic Solutions of a Generalized Gilpin-Ayala Competitive System with Time Delays
Authors: ,
Abstract: In this paper, we investigate a generalized Gilpin-Ayala competition system which is more general and more realistic than the classical Lotka-Volterra competition system. By the fixed-point theorem and differential mean value, some sufficient conditions guaranteeing the existence, uniqueness and exponential stability of positive periodic solutions for a generalized Gilpin-Ayala competition system with time delays are given. Two illustrative examples are also given in the end to show the effectiveness of our results.