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http://dx.doi.org/10.12941/jksiam.2012.16.4.249

PATTERN FORMATION FOR A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH CROSS DIFFUSION  

Sambath, M. (DEPARTMENT OF MATHEMATICS, BHARATHIAR UNIVERSITY)
Balachandran, K. (DEPARTMENT OF MATHEMATICS, BHARATHIAR UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.16, no.4, 2012 , pp. 249-256 More about this Journal
Abstract
In this work, we analyze the spatial patterns of a predator-prey system with cross diffusion. First we get the critical lines of Hopf and Turing bifurcations in a spatial domain by using mathematical theory. More specifically, the exact Turing region is given in a two parameter space. Our results reveal that cross diffusion can induce stationary patterns which may be useful in understanding the dynamics of the real ecosystems better.
Keywords
Cross diffusion; Turing bifurcation; Predator-prey model; Pattern formation;
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