Singularity and symmetry analyses of mathematical models of epidemics

Singularity and symmetry analyses of mathematical models of epidemics

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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. Nucci, P. Leach
Format: Article
Language:English
Published: Academy of Science of South Africa 2010-01-01
Series:South African Journal of Science
Online Access:http://192.168.0.121/index.php/sajs/article/view/10036
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spelling doaj-b865f1e477d24ccfa0554437f7c421bb2021-04-06T13:39:22ZengAcademy 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.http://192.168.0.121/index.php/sajs/article/view/10036
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 http://192.168.0.121/index.php/sajs/article/view/10036
work_keys_str_mv AT mnucci singularityandsymmetryanalysesofmathematicalmodelsofepidemics
AT pleach singularityandsymmetryanalysesofmathematicalmodelsofepidemics
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