DOI QR코드

DOI QR Code

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)
  • 투고 : 2012.09.27
  • 심사 : 2012.12.07
  • 발행 : 2012.12.25

초록

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.

키워드

참고문헌

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피인용 문헌

  1. SPATIOTEMPORAL DYNAMICS OF A PREDATOR-PREY MODEL INCORPORATING A PREY REFUGE vol.3, pp.1, 2012, https://doi.org/10.11948/2013006