A chemostat model of resource competition and allelopathy

被引:22
作者
Martines, Ian P. [1 ]
Kojouharov, Hristo V. [1 ]
Grover, James P. [2 ]
机构
[1] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
[2] Univ Texas Arlington, Dept Biol, Arlington, TX 76019 USA
关键词
Chemostat; Competition; Allelopathy; Golden Algae; Red Tide; PRYMNESIUM-PARVUM; PHYTOPLANKTON; BACTERIA; DYNAMICS;
D O I
10.1016/j.amc.2009.05.033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. (C) 2009 Elsevier Inc. All rights reserved.
引用
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页码:573 / 582
页数:10
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