Modal series solution for an epidemic model

L. Acedo, Gilberto González-Parra and Abraham J. Arenas

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 5, 1151-1157

Abstract: In this article, we generalize a recently proposed method to obtain an exact general solution for the classical Susceptible, Infected, Recovered and Susceptible (SIRS) epidemic mathematical model. This generalization is based upon the nonlinear coupling of two frequencies in an infinite modal series solution. It is shown that these series provide a nonstandard approach in order to obtain an accurate analytical solution for the classical SIRS epidemic model. Numerical results of the SIRS epidemic model for real and complex frequencies are included in order to test the validity and reliability of the method. This method could be applied to a wide class of models in physics, chemistry or engineering.

Keywords: SIRS epidemic model; Exact solution; Modal expansion infinite series (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:5:p:1151-1157

DOI: 10.1016/j.physa.2009.11.003

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