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A Rosenzweig-MacArthur (1963) Criterion for the Chemostat
Joint Authors
Lindström, Torsten
Cheng, Yuanji
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-18
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
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.
American Psychological Association (APA)
Lindström, Torsten& Cheng, Yuanji. 2016. A Rosenzweig-MacArthur (1963) Criterion for the Chemostat. The Scientific World Journal،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1120477
Modern Language Association (MLA)
Lindström, Torsten& Cheng, Yuanji. A Rosenzweig-MacArthur (1963) Criterion for the Chemostat. The Scientific World Journal No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1120477
American Medical Association (AMA)
Lindström, Torsten& Cheng, Yuanji. A Rosenzweig-MacArthur (1963) Criterion for the Chemostat. The Scientific World Journal. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1120477
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120477