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
ICNAAM 2009, Sep 2009, Rethymno, Greece. 1168 (2), pp.1209-1212, 2009, American Institute of Physics Conference Proceedings
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 : vendredi 19 octobre 2018 - 15:26:10

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  • HAL Id : cirad-00455049, version 1

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Yves Dumont, Roumen Anguelov, Jean M.-S Lubuma, Meir Shillor. Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model. ICNAAM 2009, Sep 2009, Rethymno, Greece. 1168 (2), pp.1209-1212, 2009, American Institute of Physics Conference Proceedings. 〈cirad-00455049〉

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