Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 216, Issue 12, Pages 3620-3626Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.05.007
Keywords
Predator-prey; Cross diffusion; Pattern formation
Categories
Funding
- Ministry of Education of China [20050204JJ]
- Scientific and Technological Project of the Shanxi Province [20080209ZX]
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In this paper, spatial patterns of predator-prey model with cross diffusion are investigated. The Hopf and Turing bifurcation critical line in a spatial domain are obtained by using mathematical theory. Moreover, exact Turing space is given in two parameters space. Our results reveal that cross diffusion can induce stationary patterns, which may be useful to help us better understand the dynamics of the real ecosystems. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.
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