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South African Journal of Science

Print version ISSN 0038-2353

Abstract

NUCCI, M.C.  and  LEACH, P.G.L.. Singularity and symmetry analyses of mathematical models of epidemics. S. Afr. j. sci. [online]. 2009, vol.105, n.3-4, pp. 136-146. ISSN 0038-2353.

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.

Keywords : epidemiology; symmetry analysis; singularity analysis; mathematical modelling.

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