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Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects
Joint Authors
Yan, Xiang-ping
Wang, Shu
Wang, Chang-you
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-20
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
In this paper, the Lotka-Volterra 3-species mutualism models with diffusion and delay effects is investigated.
A simple and easily verifiable condition is given to ensure the global asymptotic stability of the unique positive steady-state solution of the corresponding steady-state problem in a bounded domain with Neumann boundary condition.
Our approach to the problem is based on inequality skill and the method of the upper and lower solutions for a more general reaction—diffusion system.
Finally, some numerical simulations are given to illustrate our results.
American Psychological Association (APA)
Wang, Chang-you& Wang, Shu& Yan, Xiang-ping. 2009. Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-462990
Modern Language Association (MLA)
Wang, Chang-you…[et al.]. Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-20.
https://search.emarefa.net/detail/BIM-462990
American Medical Association (AMA)
Wang, Chang-you& Wang, Shu& Yan, Xiang-ping. Global Asymptotic Stability of 3-Species Mutualism Models with Diffusion and Delay Effects. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-462990
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462990