Dynamic analysis of a fractional order prey-predator interaction with harvesting

被引：92
|
作者：
Javidi, M. [1 ]
Nyamoradi, N. [1 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 20-21期
关键词：
Dynamic analysis; Stability; Simulation; Prey-predator; Fractional derivative; STOCHASTIC-ANALYSIS; CALCULUS; MODEL; STABILITY; EQUATIONS;
D O I：
10.1016/j.apm.2013.04.024
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In recent years, prey-predator models appearing in various fields of mathematical biology have been proposed and studied extensively due to their universal existence and importance. In this paper, we introduce a fractional-order prey-predator model and deals with the mathematical behaviors of the model. The dynamical behavior of the system is investigated from the point of view of local stability. We also carry out a detailed analysis on the stability of equilibrium. Numerical simulations are presented to illustrate the results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：8946 / 8956
页数：11
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