Chemotactic model for interaction of antagonistic microflora colonies and numerical simulations

Details Chemotactic model for interaction of antagonistic microflora colonies and numerical simulations Chemotactic model for interaction of antagonistic microflora colonies and numerical simulations

2011-10-25

arxiv.org/abs/1110.5593v1

Mathematics

Analysis of PDEs

Scientific paper

This paper studies a two-dimensional chemotactic model for two species in which one of them produces a chemo-repellent for the other. Under these circumstances, the chemical inhibits the invasion of a moving front for the second species. It is shown asymptotically and numerically how stable steady states, which depend on the chemical concentration, can be reached. The results qualitatively explain experimental observations by Swain and Ray, where colonies of bacteria produce metabolite agents which prevent the invasion of fungi.

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