Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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PREDATOR-PREY IN PATCHY SPACE WITH DIFFUSION

  • Alb, Shaban (DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE, AL-AZHAR UNIVERSITY)
  • Received : 2010.12.28
  • Accepted : 2011.05.15
  • Published : 2011.06.25
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Abstract

In this paper we formulate a predator-prey system in two patches in which the per capita migration rate of each species is influenced only by its own density, i.e. there is no response to the density of the other one. Numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation, i. e. the stable constant steady state loses its stability and spatially non-constant stationary solutions, a pattern emerge.

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References

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