Lie Symmetry Analysis for the SIS Model of Epidemiology

Mokiri Nkwana; Jacob Matshwenyego Manale

doi:10.3390/proceedings2010051

Abstract

8 February 2018

Lie Symmetry Analysis for the SIS Model of Epidemiology^†

and

Department of Mathematics and Applied Mathematics, University of Limpopo, Sovenga 0727, South Africa

Department of Mathematical Sciences, University of South Africa, Science campus, Florida 1709, South Africa

Authors to whom correspondence should be addressed.

^†

Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.

Proceedings2018, 2(1), 51;https://doi.org/10.3390/proceedings2010051

This article belongs to the Proceedings The First International Conference on Symmetry

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In this contribution, we are using Lie group theoretical methods and a generalized modified symmetry for solving a second-order partial differential equation. In particular, we determine the new Lie point symmetries using modified symmetries for the Boltzmann equation and deduce the corresponding group-invariant solutions.

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On Modified Symmetries for the Boltzmann Equation

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Lie Symmetry Analysis for the SIS Model of Epidemiology †

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Lie Symmetry Analysis for the SIS Model of Epidemiology^†