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Mathematical Analysis Of Allelopathy And Resource Competition Models

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Mathematical Analysis Of Allelopathy And Resource Competition Models

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dc.contributor.author Martines, Ian Pablo en_US
dc.date.accessioned 2008-08-08T02:31:15Z
dc.date.available 2008-08-08T02:31:15Z
dc.date.issued 2008-08-08T02:31:15Z
dc.date.submitted May 2008 en_US
dc.identifier.other DISS-2077 en_US
dc.identifier.uri http://hdl.handle.net/10106/980
dc.description.abstract Mathematical population models of nutrient recycling and allelopathy are presented. The chemostat limited-resource model forms the basis for each of the models, amended with the dynamics of nutrient recycling and allelopathy. Nutrient recycling considers the explicit mortality of the population as providing additional recycled nutrient available to the remaining organisms. Also considered is allelopathy in which one population produces a poison to increase the mortality of another population. In this study we explore allelopathy in which the poison producer increases toxicity as the nutrients are limited. In addition to the chemostat model, we also consider the associated gradostat, two chemostat devices in series. Local analysis and numerical simulations are presented for each of the models along with global results where available. en_US
dc.description.sponsorship Kojouharov, Hristo en_US
dc.language.iso EN en_US
dc.publisher Mathematics en_US
dc.title Mathematical Analysis Of Allelopathy And Resource Competition Models en_US
dc.type Ph.D. en_US
dc.contributor.committeeChair Kojouharov, Hristo en_US
dc.degree.department Mathematics en_US
dc.degree.discipline Mathematics en_US
dc.degree.grantor University of Texas at Arlington en_US
dc.degree.level doctoral en_US
dc.degree.name Ph.D. en_US
dc.identifier.externalLink https://www.uta.edu/ra/real/editprofile.php?onlyview=1&pid=23
dc.identifier.externalLinkDescription Link to Research Profiles

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