Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 8, Issue 1, Pages 20-26Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2005.03.032
Keywords
infective models; chaos; Melnikov's method; homoclinic orbit
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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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