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
Department of Mathematics and Computer Science, Guangxi Qinzhou University, Qinzhou, Guangxi 535000, China
Received 21 February 2008; Accepted 2 June 2008
Academic Editor: Manuel De La Sen
Copyright © 2008 Qiong Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.