Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response-Reference-Cited by-同舟云学术

Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response

Published:2013 Issue: Volume:2013 Page:1-9
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Wu Runxin¹,Li Lin¹

Affiliation:

1. Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, China

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-Holling III type functional response are obtained. An example together with its numerical simulation shows that the main results are verifiable.

Funder

Foundation of Fujian Education Bureau

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2013/393729.pdf

Reference18 articles.

1. Permanence and Global Attractivity of Discrete Predator-Prey System with Hassell-Varley Type Functional Response

2. Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model

3. Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls

4. Stability analysis of a prey–predator model with holling type III response function incorporating a prey refuge

5. Permanence and global attractivity of a discrete multispecies Lotka–Volterra competition predator–prey systems

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