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A Chemotactic Model for Interaction of Antagonistic Microflora Colonies: Front Asymptotics and Numerical Simulations
Author(s) -
Málaga C.,
Minzoni A.,
Plaza R. G.,
Simeoni C.
Publication year - 2013
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12000
Subject(s) - chemotaxis , front (military) , metabolite , bacteria , physics , biological system , mechanics , biology , meteorology , biochemistry , genetics , receptor
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 [1] showing that colonies of bacteria produce metabolite agents which prevent the invasion of fungi.