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On Persistence and Stability of some Biological Systems with Cross Diffusion

E. Ahmed·A. S. Hegazi·A. S. Elgazzar
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Abstract

The concept of cross diffusion is applied to some biological systems. The conditions for persistence and Turing instability in the presence of cross diffusion are derived. Many examples including: predator-prey, epidemics (with and without delay), hawk-dove-retaliate and prisoner's dilemma games are given.

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E. Ahmed, A. S. Hegazi, A. S. Elgazzar. 2004-04-09. On Persistence and Stability of some Biological Systems with Cross Diffusion. https://arxiv.org/abs/nlin/0404021

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