A chemostat model of resource competition and allelopathy |
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Authors: | Ian P. Martines Hristo V. Kojouharov James P. Grover |
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Affiliation: | aDepartment of Mathematics, University of Texas at Arlington, P.O. Box 19408, Arlington, TX 76019-0408, USA;bDepartment of Biology, University of Texas at Arlington, P.O. Box 19498, Arlington, TX 76019-0498, USA |
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Abstract: | Presented is a chemostat model in which one microbial population excretes a poison that increases the mortality of another, with toxin production increasing as the growth rate of the toxic species decreases. The model is intended to explore the role of allelopathy in blooms of harmful algae, such as red tide (Karenia brevis) and golden algae (Prymnesium parvum). This study introduces the model and its biological basis, and proceeds to the analysis of its asymptotic states. All theoretical results are supported by a set of numerical simulations. A discussion of biological conclusions and similarities to other mathematical models is also presented. |
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Keywords: | Chemostat Competition Allelopathy Golden Algae Red Tide |
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