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 Connectez-vous pour contacter le contributeur
Soumis le : mardi 9 février 2010 - 14:47:27
Dernière modification le : lundi 11 octobre 2021 - 13:22:21

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

Identifiants

Collections

Citation

Exporter

Métriques

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

Identifiants

Collections

Citation

Exporter

Partager

Métriques