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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)
  • Received : 2012.09.27
  • Accepted : 2012.12.07
  • Published : 2012.12.25

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.

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