CHAOS IN FRACTIONAL-ORDER POPULATION MODEL

被引：10
|
作者：
Petras, Ivo [1 ]
机构：
[1] Tech Univ Kosice, Fac BERG, Kosice 04200, Slovakia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 04期
关键词：
Fractional calculus; chaos; fractional-order system; Lotka-Volterra equations; FREQUENCY-DOMAIN APPROXIMATION; SYSTEMS;
D O I：
10.1142/S0218127412500721
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a fractional-order population model which consists of the two-predators and one-prey scheme. For this new model, the numerical solution is derived and the simulations are performed for various sets of model parameters together with stability analysis for commensurate and incomensurate orders of the fractional-order population model. The results obtained via the simulations show that chaos can be observed in such population model.
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页数：6
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