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

Yves Dumont; Roumen Anguelov; Jean M.-S Lubuma; Meir Shillor

Communication dans un congrès

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

Yves Dumont ¹ Roumen Anguelov Jean M.-S Lubuma Meir Shillor

1 UMR AMAP - Botanique et Modélisation de l'Architecture des Plantes et des Végétations

Abstract : 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.

Keywords : Dynamical system Non-standard finite difference methods numerical simulations

Type de document :

Communication dans un congrès

Domaine :

Mathématiques [math] / Analyse numérique [math.NA]

Mathématiques [math] / Systèmes dynamiques [math.DS]

Sciences du Vivant [q-bio] / Santé publique et épidémiologie

Liste complète des métadonnées

http://hal.cirad.fr/cirad-00455049
Contributeur : Yves Dumont <>
Soumis le : mardi 9 février 2010 - 14:47:27
Dernière modification le : jeudi 2 juillet 2020 - 13:59:06

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

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

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