Permanence for a Generalized Nonautonomous Lotka-Volterra Competition System with Delays

Abstract

We consider nonautonomous N-dimensional generalized Lotka-Volterra competition systems with delays. Under certain conditions we show that such systems are permanent. Our result gives an extension as well as an improvement of previous results to the more general systems where inter- and intra-specific interaction terms are described by a general class of nonlinear function.