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Global Behavior for a Strongly Coupled Predator-Prey Model with One Resource and Two Consumers
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-07
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We consider a strongly coupled predator-prey model with one resource and two consumers, in which the first consumer species feeds on the resource according to the Holling II functional response, while the second consumer species feeds on the resource following the Beddington-DeAngelis functional response, and they compete for the common resource.
Using the energy estimates and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions for the model are proved.
Meanwhile, the sufficient conditions for global asymptotic stability of the positive equilibrium for this model are given by constructing a Lyapunov function.
American Psychological Association (APA)
Jiao, Yujuan& Fu, Shengmao. 2012. Global Behavior for a Strongly Coupled Predator-Prey Model with One Resource and Two Consumers. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-452586
Modern Language Association (MLA)
Jiao, Yujuan& Fu, Shengmao. Global Behavior for a Strongly Coupled Predator-Prey Model with One Resource and Two Consumers. Abstract and Applied Analysis No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-452586
American Medical Association (AMA)
Jiao, Yujuan& Fu, Shengmao. Global Behavior for a Strongly Coupled Predator-Prey Model with One Resource and Two Consumers. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-452586
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452586