South African Journal of Science
On-line version ISSN 1996-7489
Print version 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.