Research Articles

Singularity and symmetry analyses of mathematical models of epidemics

M. C. Nucci, P. G.L. Leach
South African Journal of Science | Vol 105, No 3/4 | a66 | DOI: https://doi.org/10.4102/sajs.v105i3/4.66 | © 2010 M. C. Nucci, P. G.L. Leach | This work is licensed under CC Attribution 4.0
Submitted: 19 January 2010 | Published: 19 January 2010

About the author(s)

M. C. Nucci, Dipartimento di Matematica e Informatica, Università di Perugia, 06123 Perugia, Italy., Italy
P. G.L. Leach, Dipartimento di Matematica e Informatica, Università di Perugia, 06123 Perugia, Italy. Permanent address: School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa., South Africa

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Abstract

We present a summary of the methods of Lie symmetry and Painlevé singularity analyses and apply them to a number of wellknown epidemiological models to demonstrate the utility of these analyses in the analysis of dynamical systems which arise during investigations of the evolution of diseases.

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