A Model of Allelopathy in the Context of Bacteriocin Production

Document Type

Article

Publication Date

12-15-2006

Publication Title

Applied Mathematics and Computation

DOI

10.1016/j.amc.2006.06.038

ISSN

0096-3003

Abstract

Allelopathy is the chemical inhibition of one species by another. Bacteriocins, which are toxins produced by bacteria to inhibit the growth of closely related species, are a particular type of allelopathy that is of special interest because of the importance of bacteriocins in the food industry and in the development of vaccines. We form a model of this situation in the chemostat by incorporating parameters that measure relatedness and mutation rates as well as the cost of toxin production into standard competition models. Numerically, we show that depending upon growth rates and toxin sensitivity, coexistence of competitors may or may not occur.

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