A chemostat model of resource competition and allelopathy

DOI10.1016/J.AMC.2009.05.033zbMath1171.92040OpenAlexW2022621646WikidataQ58285236 ScholiaQ58285236MaRDI QIDQ732392

Hristo V. Kojouharov, Ian P. Martines, James P. Grover

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.033

zbMATH Keywords

competitionchemostatallelopathygolden algaered tide

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

A competition model in the chemostat with allelopathy and substrate inhibition ⋮ Mathematical models of nutrient recycling and toxin production in a gradostat ⋮ Competition and allelopathy with resource storage: two resources ⋮ Nutrient recycling and allelopathy in a gradostat ⋮ Competition for one nutrient with internal storage and toxin mortality ⋮ Extinction and uniform persistence in a microbial food web with mycoloop: limiting behavior of a population model with parasitic fungi ⋮ A Higher-Order NSFD Method for a Simple Growth Model in the Chemostat ⋮ Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy ⋮ A simple model of nutrient recycling and dormancy in a chemostat: mathematical analysis and a second-order nonstandard finite difference method ⋮ An allelopathy based model for the \textit{Listeria} overgrowth phenomenon ⋮ A nonstandard finite difference method forn-dimensional productive–destructive systems ⋮ Stability analysis of competing insect species for a single resource ⋮ Competition for one nutrient with recycling and allelopathy in an unstirred chemostat

Cites Work

• Competition in the chemostat when one competitor produces a toxin
• A survey of mathematical models of competition with an inhibitor.
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• The Theory of the Chemostat
• Competition in the presence of a lethal external inhibitor
• A competition model with dynamically allocated inhibitor production

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