A qualitative analysis of an additive chemostat model of microorganisms competing for two complementary nutrients (Q1309399): Difference between revisions
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Revision as of 19:18, 11 February 2024
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A qualitative analysis of an additive chemostat model of microorganisms competing for two complementary nutrients |
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A qualitative analysis of an additive chemostat model of microorganisms competing for two complementary nutrients (English)
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6 January 1994
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A system of four (nonlinear, coupled) ordinary differential equations is investigated. This ODE-system arises as a model of two competing species of microorganisms for two complementing resources in a chemostat. The form of the uptake functions is based on an additive model proposed by \textit{O'Neill} et al. [Ecological Modelling 46, 147-163 (1989)]. The authors prove existence and boundedness of the solutions of the Cauchy problem and derive a variety of conditions ensuring existence and stability of the possible equilibria.
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competing species of microorganisms
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chemostat
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existence
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boundedness
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Cauchy problem
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stability
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equilibria
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