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 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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Academy of Science of South Africa
2009-03-01
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| Series: | South African Journal of Science |
| Online Access: | https://sajs.co.za/article/view/10327 |
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| _version_ | 1849309974376742912 |
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| author | M. Nucci P. Leach |
| author_facet | M. Nucci P. Leach |
| author_sort | M. Nucci |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bf80ffad96e945d692bfa38264e7e00d |
| institution | Kabale University |
| issn | 1996-7489 |
| language | English |
| publishDate | 2009-03-01 |
| publisher | Academy of Science of South Africa |
| record_format | Article |
| series | South African Journal of Science |
| spelling | doaj-art-bf80ffad96e945d692bfa38264e7e00d2025-08-20T03:53:52ZengAcademy of Science of South AfricaSouth African Journal of Science1996-74892009-03-011053/48486Singularity 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 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.https://sajs.co.za/article/view/10327 |
| spellingShingle | M. Nucci P. Leach Singularity and symmetry analyses of mathematical models of epidemics South African Journal of Science |
| title | 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_short | Singularity and symmetry analyses of mathematical models of epidemics |
| title_sort | singularity and symmetry analyses of mathematical models of epidemics |
| url | https://sajs.co.za/article/view/10327 |
| work_keys_str_mv | AT mnucci singularityandsymmetryanalysesofmathematicalmodelsofepidemics AT pleach singularityandsymmetryanalysesofmathematicalmodelsofepidemics |