Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response. (14th June 2009)

• Record Type: Journal Article
• Authors: Wu, Runxin; Li, Lin
• Other Names: Berezansky Leonid Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2009(2009)
• Publication Date: 2009-06-14
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2009/323065
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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 discrete predator-prey system with Hassell-Varley type functional response are obtained. Example together with its numerical simulation shows that the main results are verifiable.