A model of allelopathy in the context of bacteriocin production

Martha Abell; James Braselton; Lorraine Braselton

doi:10.1016/j.amc.2006.06.038

A model of allelopathy in the context of bacteriocin production

Martha Abell
, James Braselton
, Lorraine Braselton

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	916-931
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	183
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.06.038
State	Published - Dec 15 2006

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Scopus Subject Areas

Computational Mathematics
Applied Mathematics

Keywords

Allelopathy
Bacteriocin
Chemostat
Competition
Dulac criterion
Mutation
Routh-Hurwitz

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10.1016/j.amc.2006.06.038

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title = "A model of allelopathy in the context of bacteriocin production",

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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AU - Abell, Martha

AU - Braselton, James

AU - Braselton, Lorraine

PY - 2006/12/15

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N2 - 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.

AB - 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.

KW - Allelopathy

KW - Bacteriocin

KW - Chemostat

KW - Competition

KW - Dulac criterion

KW - Mutation

KW - Routh-Hurwitz

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M3 - Article

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EP - 931

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

A model of allelopathy in the context of bacteriocin production

Abstract

UN SDGs

Scopus Subject Areas

Keywords

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