Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 706154, 13 pages
doi:10.1155/2008/706154

Almost periodic solution of a diffusive mixed system with time delay and type III functional response

Abstract

A delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying Liapunov-Razumikhin technique, we will point out, under almost periodic circumstances, a set of sufficient conditions that assure the existence and uniqueness of the positive almost periodic solution which is globally asymptotically stable.