![](/images/graphics-bg.png)
Stability in a Simple Food Chain System with Michaelis-Menten Functional Response and Nonlocal Delays
Joint Authors
Tian, Canrong
Lin, Zhigui
Gan, Wenzhen
Zhang, Qunying
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-05
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper is concerned with the asymptotical behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition.
By taking food ingestion and species' moving into account, the model is further coupled with Michaelis-Menten type functional response and nonlocal delay.
Sufficient conditions are derived for the global stability of the positive steady state and the semitrivial steady state of the proposed problem by using the Lyapunov functional.
Our results show that intraspecific competition benefits the coexistence of prey and predator.
Furthermore, the introduction of Michaelis-Menten type functional response positively affects the coexistence of prey and predator, and the nonlocal delay is harmless for stabilities of all nonnegative steady states of the system.
Numerical simulations are carried out to illustrate the main results.
American Psychological Association (APA)
Gan, Wenzhen& Tian, Canrong& Zhang, Qunying& Lin, Zhigui. 2013. Stability in a Simple Food Chain System with Michaelis-Menten Functional Response and Nonlocal Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-509616
Modern Language Association (MLA)
Gan, Wenzhen…[et al.]. Stability in a Simple Food Chain System with Michaelis-Menten Functional Response and Nonlocal Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-509616
American Medical Association (AMA)
Gan, Wenzhen& Tian, Canrong& Zhang, Qunying& Lin, Zhigui. Stability in a Simple Food Chain System with Michaelis-Menten Functional Response and Nonlocal Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-509616
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509616