Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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STATIONARY PATTERNS FOR A PREDATOR-PREY MODEL WITH HOLLING TYPE III RESPONSE FUNCTION AND CROSS-DIFFUSION

  • Liu, Jia (DEPARTMENT OF INFORMATION SCIENCE JIANGSU POLYTECHNIC UNIVERSITY) ;
  • Lin, Zhigui (SCHOOL OF MATHEMATICAL SCIENCE YANGZHOU UNIVERSITY)
  • Published : 2010.03.31
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Abstract

This paper deals with a predator-prey model with Holling type III response function and cross-diffusion subject to the homogeneous Neumann boundary condition. We first give a priori estimates (positive upper and lower bounds) of positive steady states. Then the non-existence and existence results of non-constant positive steady states are given as the cross-diffusion coefficient is varied, which means that stationary patterns arise from cross-diffusion.

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References

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