An exact global solution for the classical SIRS epidemic model

Abstract In this paper we propose an analytical approach to obtain an exact global solution for the classical S I R S epidemic mathematical model. The approach is based on modal expansion infinite series. These mode series are shown to provide a reliable and accurate analytical solution for the classical S I R S epidemic model. It is shown that for real initial conditions the modal expansion series present a convergent behaviour. These proposed modal expansion series do not rely on the well-known orthogonality relation. The validity and reliability of the proposed analytical approach is tested by its application in the S I R S epidemic model with various parameter values.

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