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Zbl 1106.35016
Pang, Peter Y.H.; Wang, Mingxin
Strategy and stationary pattern in a three-species predator--prey model. (English)
[J] J. Differ. Equations 200, No. 2, 245-273 (2004). ISSN 0022-0396

The authors indicate that, in all the predator-prey models with cross diffusion studied so far, stationary patterns arise already with the introduction of the diffusion term for each species. The model being studied in this paper seems to be the first where stationary patterns do not emerge from the diffusion of individual species, but only appear with the introduction of cross diffusion.
[Messoud A. Efendiev (Berlin)]

MSC 2000:: *35J55 Systems of elliptic equations, boundary value problems
92D25 Population dynamics
35B41 Attractors
35J60 Nonlinear elliptic equations
35K50 Systems of parabolic equations, boundary value problems

Keywords: cross diffusion

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Zentralblatt MATH Berlin [Germany]