Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-12-04
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A ratio-dependent predator-prey system with Holling type III functional response and feedback controls is proposed.
By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the system are obtained.
After that, under some suitable conditions, we show that the predator species y will be driven to extinction.
Examples together with their numerical simulations show that the main results are verifiable.
American Psychological Association (APA)
Yang, Jinghui. 2008. Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-452897
Modern Language Association (MLA)
Yang, Jinghui. Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-19.
https://search.emarefa.net/detail/BIM-452897
American Medical Association (AMA)
Yang, Jinghui. Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-452897
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452897
