A Rosenzweig-MacArthur (1963) Criterion for the Chemostat

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A Rosenzweig-MacArthur (1963) Criterion for the Chemostat

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Publication Article, peer reviewed scientific
Title A Rosenzweig-MacArthur (1963) Criterion for the Chemostat
Author Lindström, Torsten ; Cheng, Yuanji
Date 2016
English abstract
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.
Swedish abstract
Kriterium av Rosenzweig-MacArthur (1963) är ett grafiskt kriterium för att belysa lokal stabilitet för Gause-typ Jägar-byte system. Det är oklart om en liknade kriterium också finns för system med resurs term, t ex, chemostat modell (Kooi et al 1998). I denna artikel gav vi ett positivt svar till denna fråga med hjälp av implicit funktion teori.
DOI https://doi.org/10.1155/2016/5626980 (link to publisher's fulltext.)
Link http://dx.doi.org/10.1155/2016/5626980 .Icon
Publisher Hindawi
Host/Issue The Scientific World Journal;
Volume 2016
ISSN 1537-744X
Pages 5626980
Language eng (iso)
Subject Chemostat
local stability
limit cycle
Sciences
Research Subject Categories::MATHEMATICS
Handle http://hdl.handle.net/2043/21823 Permalink to this page
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