Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model

Anguelov Roumen, Dumont Yves, Lubuma Jean, Shillor M.. 2009. Comparison of some standard and nonstandard numerical methods 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, 1209-1212. (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 : The paper presents some non-standard finite difference methods for the MSEIR model. Following a short description of the methods, they are compared with the standard methods usually implemented in scientific software. It is shown that the non-standard schemes are superior to the standard ones with respect to their qualitative properties and the CPU running time. We show that non-local approximations of non linear terms in the equations can be of utmost importance to capture the dynamic of the system.

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/554447/)

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