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An integrable SIS model
Authors:M. C. Nucci  P. G. L. Leach
Affiliation:Dipartimento di Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy
Abstract:We provide a demonstration of the integrability of a classical model of an infectious disease which neither kills nor induces autoimmunity by means of the Painlevé analysis and use the Lie theory of transformation groups to present an explicit solution.
Keywords:SIS mathematical model   Painlevé   property   Lie symmetries
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