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Global Stability for a Three-Species Food Chain Model in a Patchy Environment
Joint Authors
Zhang, Long
Teng, Zhidong
Li, Hongli
Jiang, Yaolin
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-06
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We investigate a three-species food chain model in a patchy environment where prey species, mid-level predator species, and top predator species can disperse among n different patches (n≥2).
By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive equilibrium of this model is unique and globally asymptotically stable if it exists.
American Psychological Association (APA)
Li, Hongli& Jiang, Yaolin& Zhang, Long& Teng, Zhidong. 2014. Global Stability for a Three-Species Food Chain Model in a Patchy Environment. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-462749
Modern Language Association (MLA)
Li, Hongli…[et al.]. Global Stability for a Three-Species Food Chain Model in a Patchy Environment. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-462749
American Medical Association (AMA)
Li, Hongli& Jiang, Yaolin& Zhang, Long& Teng, Zhidong. Global Stability for a Three-Species Food Chain Model in a Patchy Environment. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-462749
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462749