Permanence and global attractivity of a delayed periodic logistic equation

Abstract

In this paper, we consider the delayed periodic logistic equationover(N, ̇) (t) = N (t) [a (t) - b (t) Np (t - σ (t)) - c (t) Nq (t - τ (t))],which describes the evolution of a single species. Sufficient conditions which guarantee the permanence and the globally attractivity of the system are obtained. © 2005 Elsevier Inc. All rights reserved.