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An Multivariable Approach for the Chemostat Model
Linnaeus University, Faculty of Technology, Department of Mathematics.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

We use a multivariable approach to study the Chemostat model for a food chain. Using a Lyapunov function we reduce the system to a two-dimensional system.We then find isoclines and equilibrium points using a change of variables and the implicit function theorem.It turn out to be three equilibriums, namely the extinction equilibrium, caring capacity equilibrium and the implicit representation of an isocline where all solutions for the interior equilibrium is expressed.

Place, publisher, year, edition, pages
2016. , p. 19
National Category
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-48654OAI: oai:DiVA.org:lnu-48654DiVA, id: diva2:892633
Subject / course
Mathematics
Educational program
Applied Mahtematics Programme, 180 credits
Supervisors
Examiners
Available from: 2016-01-11 Created: 2016-01-11 Last updated: 2016-01-11Bibliographically approved

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AnMultivariableApproachForTheChemostatModel(644 kB)229 downloads
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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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Output format
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