Title

The Explicit Series Solution Of Sir And Sis Epidemic Models

Keywords

Epidemiology; Homotopy analysis method; Series solution; SIR; SIS

Abstract

In this paper the SIR and SIS epidemic models in biology are solved by means of an analytic technique for nonlinear problems, namely the homotopy analysis method (HAM). Both of the SIR and SIS models are described by coupled nonlinear differential equations. A one-parameter family of explicit series solutions are obtained for both models. This parameter has no physical meaning but provides us with a simple way to ensure convergent series solutions to the epidemic models. Our analytic results agree well with the numerical ones. This analytic approach is general and can be applied to get convergent series solutions of some other coupled nonlinear differential equations in biology. © 2009 Elsevier Inc. All rights reserved.

Publication Date

9-15-2009

Publication Title

Applied Mathematics and Computation

Volume

215

Issue

2

Number of Pages

653-669

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.amc.2009.05.051

Socpus ID

68949150809 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/68949150809

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