Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model

Anguelov Roumen, Dumont Yves, Lubuma Jean, Shillor M.. 2009. Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model. 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.

Résumé : 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.

Classification Agris : U10 - Informatique, mathématiques et statistiques
L73 - Maladies des animaux

Auteurs et affiliations

• Anguelov Roumen, University of Pretoria (ZAF)
• Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X
• Lubuma Jean, University of Pretoria (ZAF)
• Shillor M., Oakland University (USA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/554448/)

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