On Persistence and Stability of some Biological Systems with Cross Diffusion
Adaptation and Self-Organizing Systems
2007-05-23 v1 Populations and Evolution
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.
Keywords
Cite
@article{arxiv.nlin/0404021,
title = {On Persistence and Stability of some Biological Systems with Cross Diffusion},
author = {E. Ahmed and A. S. Hegazi and A. S. Elgazzar},
journal= {arXiv preprint arXiv:nlin/0404021},
year = {2007}
}
Comments
15 pages, Accepted in Adv. Complex Syst