Singularity and symmetry analyses of mathematical models of epidemics

Authors

  • M. Nucci Dipartimento di Matematica e Informatica, Università di Perugia, 06123 Perugia, Italy.
  • P. 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.

Abstract

We present a summary of the methods of Lie symmetry and Painlevé singularity analyses and apply them to a number of well-known 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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Published

2010-01-19

Issue

Vol. 105 No. 3/4 (2009)

Section

Research Articles

License

Creative Commons License
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How to Cite

Nucci, M., & Leach, P. (2010). Singularity and symmetry analyses of mathematical models of epidemics. South African Journal of Science, 105(3/4). https://sajs.co.za/article/view/10327
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