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- Title
Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls.
- Authors
Jinghui Yang
- Abstract
A ratio-dependent predator-prey system with Holling type III functional response and feedbackcontrols is proposed. By constructing a suitable Lyapunov function and using the comparisontheorem of difference equation, sufficient conditions which ensure the permanence and globalattractivity of the system are obtained. After that, under some suitable conditions, we show that thepredator species y will be driven to extinction. Examples togetherwith their numerical simulationsshow that the main results are verifiable.
- Subjects
DIFFERENTIAL equations; LYAPUNOV functions; PREDATION; COMPUTER simulation; MATHEMATICAL models; SIMULATION methods &; models
- Publication
Discrete Dynamics in Nature & Society, 2008, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2008/186539