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Article Dans Une Revue Studies in Applied Mathematics Année : 2013

A chemotactic model for interaction of antagonistic microflora colonies: front asymptotics and numerical simulations

Résumé

This paper studies a two-dimensional chemotactic model for two species in which one of them produces a chemo-repellent for the other. It is shown asymptotically and numerically how the chemical inhibits the invasion of a moving front for the second species and how stable steady states, which depend on the chemical concentration, can be reached. The results qualitatively explain experimental observations by Swain and Ray [Microbiol. Res. 164(2), 2009], where colonies of bacteria produce metabolite agents which prevent the invasion of fungi.
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Dates et versions

hal-00922960 , version 1 (31-12-2013)

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Carlos Málaga, Antonmaria A. Minzoni, Ramón G. Plaza, Chiara Simeoni. A chemotactic model for interaction of antagonistic microflora colonies: front asymptotics and numerical simulations. Studies in Applied Mathematics, 2013, 130 (3), pp.264-294. ⟨10.1111/sapm.12000⟩. ⟨hal-00922960⟩
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