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Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations
Joint Authors
Wang, Zhigang
Fan, Xiaoming
Jiang, Fuquan
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-24
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
We explore the dynamics of a class of mutualism-competition-predator interaction models with Beddington-DeAngelis functional responses and impulsive perturbations.
Sufficient conditions for existence of positive periodic solution are established by using a continuation theorem in coincidence degree theory, which have been extensively applied in studying existence problems in differential equations and difference equations.
In addition, sufficient criteria are given for the global stability and the globally exponential stability of system by employing comparison principle and Lyapunov method.
American Psychological Association (APA)
Fan, Xiaoming& Wang, Zhigang& Jiang, Fuquan. 2012. Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-33.
https://search.emarefa.net/detail/BIM-511859
Modern Language Association (MLA)
Fan, Xiaoming…[et al.]. Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations. Abstract and Applied Analysis No. 2012 (2012), pp.1-33.
https://search.emarefa.net/detail/BIM-511859
American Medical Association (AMA)
Fan, Xiaoming& Wang, Zhigang& Jiang, Fuquan. Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-33.
https://search.emarefa.net/detail/BIM-511859
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511859