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On Modified Symmetries for the Boltzmann Equation
 
 
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Abstract

Lie Symmetry Analysis for the SIS Model of Epidemiology †

by
Mokiri Nkwana
1,* and
Jacob Matshwenyego Manale
2,*
1
Department of Mathematics and Applied Mathematics, University of Limpopo, Sovenga 0727, South Africa
2
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.
Proceedings 2018, 2(1), 51; https://doi.org/10.3390/proceedings2010051
Published: 8 February 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
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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MDPI and ACS Style

Nkwana, M.; Manale, J.M. Lie Symmetry Analysis for the SIS Model of Epidemiology. Proceedings 2018, 2, 51. https://doi.org/10.3390/proceedings2010051

AMA Style

Nkwana M, Manale JM. Lie Symmetry Analysis for the SIS Model of Epidemiology. Proceedings. 2018; 2(1):51. https://doi.org/10.3390/proceedings2010051

Chicago/Turabian Style

Nkwana, Mokiri, and Jacob Matshwenyego Manale. 2018. "Lie Symmetry Analysis for the SIS Model of Epidemiology" Proceedings 2, no. 1: 51. https://doi.org/10.3390/proceedings2010051

APA Style

Nkwana, M., & Manale, J. M. (2018). Lie Symmetry Analysis for the SIS Model of Epidemiology. Proceedings, 2(1), 51. https://doi.org/10.3390/proceedings2010051

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