Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response-Reference-Cited by-同舟云学术

Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response

Published:2015 Issue: Volume:2015 Page:1-8
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Ding Dehong¹,Fang Kui¹,Zhao Yang²³

Affiliation:

1. College of Information Science and Technology, Hunan Agricultural University, Changsha 410128, China

2. Department of Electronic and Information Technology, Jiangmen Polytechnic, Jiangmen 529000, China

3. College of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, China

Abstract

This paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic stability of positive periodic solutions of the model.

Funder

State Science and Technology Support Program

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/797542.pdf

Reference38 articles.

1. Dynamics of Leslie–Gower type generalist predator in a tri-trophic food web system

2. Monographs in Population Biology,2003

3. Qualitative analysis of a predator–prey model with Holling type II functional response incorporating a prey refuge

4. The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie–Gower predator–prey model with Holling-type II functional responses

5. Positive periodic solutions for a neutral delay ratio-dependent predator–prey model with a Holling type II functional response

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