Global Stability for Infinite Delay Lotka-Volterra Type Systems

In this paper, sufficient conditions are established for the global stability of the saturated equilibrium of an infinite delay, nonautonomous Lotka-Volterra type system. The present work is distinguished from previous work principally be allowing the system to be nonautonomous and relaxing the traditional requirement that the undelayed intraspecific competition dominates both the delayed intraspecific competition as well as the interspecific interactions. We require the undelayed intraspecific competition to dominate the latter but not the former.