Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838457 | Nonlinear Analysis: Real World Applications | 2007 | 7 Pages |
Abstract
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.
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Authors
Ouaténi Diallo, Yaya Koné,