Lyapunov Functions for the Global Stability of Competing Predators

Abstract

In this paper we study the global stability of an exploitative competition system between two predator species and a single prey species. A sufficient condition for the global stability is given which is applicable to most of three-dimensional competing predators system. Then we restrict our attentions to the case in which the prey is of logistic growth and predators have Holling's type II functional responses. © 1998 Academic Press.