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Dynamics of a Diffusive Predator-Prey Model with General Nonlinear Functional Response
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We study a diffusive predator-prey model with nonconstant death rate and general nonlinear functional response.
Firstly, stability analysis of the equilibrium for reduced ODE system is discussed.
Secondly, sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained.
Furthermore, sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by using the method of Lyapunov function.
Finally, we show that there are no nontrivial steady state solutions for certain parameter configuration.
American Psychological Association (APA)
Yang, Wensheng. 2014. Dynamics of a Diffusive Predator-Prey Model with General Nonlinear Functional Response. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1050763
Modern Language Association (MLA)
Yang, Wensheng. Dynamics of a Diffusive Predator-Prey Model with General Nonlinear Functional Response. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1050763
American Medical Association (AMA)
Yang, Wensheng. Dynamics of a Diffusive Predator-Prey Model with General Nonlinear Functional Response. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1050763
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050763