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

Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response

Qiong Liu

 Department of Mathematics and Computer Science, Guangxi Qinzhou University, Qinzhou, Guangxi 535000, China
Received 21 February 2008; Accepted 2 June 2008

Recommended by Manuel De La Sen

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.