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.
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doaj-79c0523213614c068e58e464c49bf6ff2021-02-27T06:07:25ZengAcademy of Science of South AfricaSouth African Journal of Science1996-74892010-01-011053/4Singularity and symmetry analyses of mathematical models of epidemicsM. Nucci0P. Leach1Dipartimento di Matematica e Informatica, Università di Perugia, 06123 Perugia, Italy.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.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.https://www.sajs.co.za/article/view/10327 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. Nucci P. Leach |
spellingShingle |
M. Nucci P. Leach Singularity and symmetry analyses of mathematical models of epidemics South African Journal of Science |
author_facet |
M. Nucci P. Leach |
author_sort |
M. Nucci |
title |
Singularity and symmetry analyses of mathematical models of epidemics |
title_short |
Singularity and symmetry analyses of mathematical models of epidemics |
title_full |
Singularity and symmetry analyses of mathematical models of epidemics |
title_fullStr |
Singularity and symmetry analyses of mathematical models of epidemics |
title_full_unstemmed |
Singularity and symmetry analyses of mathematical models of epidemics |
title_sort |
singularity and symmetry analyses of mathematical models of epidemics |
publisher |
Academy of Science of South Africa |
series |
South African Journal of Science |
issn |
1996-7489 |
publishDate |
2010-01-01 |
description |
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. |
url |
https://www.sajs.co.za/article/view/10327 |
work_keys_str_mv |
AT mnucci singularityandsymmetryanalysesofmathematicalmodelsofepidemics AT pleach singularityandsymmetryanalysesofmathematicalmodelsofepidemics |
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