Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional ResponseReport as inadecuate




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Discrete Dynamics in Nature and SocietyVolume 2008 2008, Article ID 706154, 13 pages

Research ArticleDepartment 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 isproposed. Some sufficient conditions on uniform persistence of the model havebeen obtained. By applying Liapunov-Razumikhin technique, we will pointout, under almost periodic circumstances, a set of sufficient conditions thatassure the existence and uniqueness of the positive almost periodic solutionwhich is globally asymptotically stable.





Author: Qiong Liu

Source: https://www.hindawi.com/



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