On Persistence and Stability of some Biological Systems with Cross Diffusion

Details On Persistence and Stability of some Biological Systems with Cross Diffusion On Persistence and Stability of some Biological Systems with Cross Diffusion

2004-04-09

arxiv.org/abs/nlin/0404021v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

15 pages, Accepted in Adv. Complex Syst

Scientific paper

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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