Singularity and symmetry analyses of mathematical models of epidemics

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.

Bibliographic Details
Main Authors: M. C. Nucci, P. G.L. Leach
Format: Article
Language:English
Published: Academy of Science of South Africa 2010-01-01
Series:South African Journal of Science
Online Access:http://archive.sajs.co.za/index.php/SAJS/article/view/66