
Home

Computational Ecology and Software, 2014, 4(2): 116-128
[XML] [EndNote] [RefManager] [BibTex] [

Full PDF (510K)] [Comment Article]

Article

Complex dynamics of a stochastic discrete modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting

A. Elhassanein
Dept. of Math., Faculty of Science, Damanhour University, Damanhour, Egypt

Received 30 January 2014;Accepted 5 March 2014;Published online 1 June 2014
IAEES

Abstract
This paper introduced a stochastic discretized version of the modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting. The dynamical behavior of the proposed model was investigated. The existence and stability of the equilibria of the skeleton were studied. Numerical simulations were employed to show the model's complex dynamics by means of the largest Lyapunov exponents, bifurcations, time series diagrams and phase portraits. The effects of noise intensity on its dynamics and the intermittency phenomenon were also discussed via simulation.

Keywords ecosystems;Leslie-Gower predator-prey model;skeleton;bifurcations;chaos.

International Academy of Ecology and Environmental Sciences. E-mail: office@iaees.org
Copyright © 2009-2024 International Academy of Ecology and Environmental Sciences. All rights reserved.
Web administrator: office@iaees.org, website@iaees.org; Last modified: 2024/4/26

Translate page to: