Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model
We construct a family of non-standard finite difference schemes that are dynamically consistent with the MSEIR model in the sense that they replicate the global asymptotic stability of the disease-free equilibrium, the local asymptotic stability of the endemic equilibrium, as well as the positivity of exact solutions and the conservation of the population of the continuous model.
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dig-cirad-fr-5544482022-04-21T07:49:09Z http://agritrop.cirad.fr/554448/ http://agritrop.cirad.fr/554448/ Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model. Anguelov Roumen, Dumont Yves, Lubuma Jean, Shillor M.. 2009. In : Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymno, Crete, Greece, 18-22 September 2009. Psihoyios George (ed.), Tsitouras C. (ed.), Simos Theodore E. (ed.). AIP. Melville : AIP, 1213-1216. (AIP Conference proceedings, 1168) ISBN 978-0-7354-0709-1 International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymnon, Grèce, 18 Septembre 2009/22 Septembre 2009.https://doi.org/10.1063/1.3241286 <https://doi.org/10.1063/1.3241286> Researchers Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. eng 2009 AIP Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymno, Crete, Greece, 18-22 September 2009 U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux We construct a family of non-standard finite difference schemes that are dynamically consistent with the MSEIR model in the sense that they replicate the global asymptotic stability of the disease-free equilibrium, the local asymptotic stability of the endemic equilibrium, as well as the positivity of exact solutions and the conservation of the population of the continuous model. conference_item info:eu-repo/semantics/conferenceObject Conference info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/554448/1/document_554448.pdf application/pdf Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1063/1.3241286 10.1063/1.3241286 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=207595 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=208735 info:eu-repo/semantics/altIdentifier/doi/10.1063/1.3241286 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1063/1.3241286 |
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U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model |
| description |
We construct a family of non-standard finite difference schemes that are dynamically consistent with the MSEIR model in the sense that they replicate the global asymptotic stability of the disease-free equilibrium, the local asymptotic stability of the endemic equilibrium, as well as the positivity of exact solutions and the conservation of the population of the continuous model. |
| format |
conference_item |
| topic_facet |
U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux |
| author |
Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. |
| author_facet |
Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. |
| author_sort |
Anguelov, Roumen |
| title |
Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model |
| title_short |
Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model |
| title_full |
Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model |
| title_fullStr |
Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model |
| title_full_unstemmed |
Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model |
| title_sort |
dynamically consistent non-standard finite difference schemes for the mseir epidemiological model |
| publisher |
AIP |
| url |
http://agritrop.cirad.fr/554448/ http://agritrop.cirad.fr/554448/1/document_554448.pdf |
| work_keys_str_mv |
AT anguelovroumen dynamicallyconsistentnonstandardfinitedifferenceschemesforthemseirepidemiologicalmodel AT dumontyves dynamicallyconsistentnonstandardfinitedifferenceschemesforthemseirepidemiologicalmodel AT lubumajean dynamicallyconsistentnonstandardfinitedifferenceschemesforthemseirepidemiologicalmodel AT shillorm dynamicallyconsistentnonstandardfinitedifferenceschemesforthemseirepidemiologicalmodel |
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1758022440347238400 |