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A Rosenzweig-MacArthur (1963) Criterion for the Chemostat
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-7261-0399
Malmö University.
2016 (English)In: Scientific World Journal, ISSN 1537-744X, E-ISSN 1537-744X, article id 5626980Article in journal (Refereed) Published
Abstract [en]

The Rosenzweig-MacArthur (1963) criterion is a graphical criterion that has been widely used for elucidating the local stability properties of the Gause (1934) type predator-prey systems. It has not been stated whether a similar criterion holds for models with explicit resource dynamics (Kooi et al. (1998)), like the chemostat model. In this paper we use the implicit function theorem and implicit derivatives for proving that a similar graphical criterion holds under chemostat conditions, too. 

Place, publisher, year, edition, pages
2016. article id 5626980
Keywords [en]
Implicit function theorem, stability of equilibria, predator-prey system
National Category
Mathematical Analysis
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-55439DOI: 10.1155/2016/5626980Scopus ID: 2-s2.0-84982840906OAI: oai:DiVA.org:lnu-55439DiVA, id: diva2:952627
Available from: 2016-08-15 Created: 2016-08-15 Last updated: 2017-11-28Bibliographically approved

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Lindström, Torsten

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