Melnikov analysis of chaos in a general epidemiological model

被引：18

作者：

Diallo, Ouateni ^{[1
]}

Kone, Yaya ^{[1
]}

机构：

[1] Fac Sci & Tech, Dept Math & Informat, Bamako, Mali

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2007年 / 8卷 / 01期

关键词：

infective models; chaos; Melnikov's method; homoclinic orbit;

D O I：

10.1016/j.nonrwa.2005.03.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study a SIR model of epidemic dynamics with a periodically modulated nonlinear incidence rate. We must go, for the first time, through a series of coordinate transformations to bring the equations into amenable to Melnikov analysis. This analysis establishes mathematically the existence of chaotic motion of the models by Melnikov's method. The numerical simulations are made for the conclusions in this paper. (c) 2005 Elsevier Ltd. All rights reserved.

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页码：20 / 26

页数：7

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