Dynamically consistent non-standard finite difference schemes 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 : 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.
Keywords : Dynamical systems asymptotic stability conservation of population positivity non-standard finite difference method
Type de document :
Communication dans un congrès
ICNAAM 2009, Sep 2009, Rethymno, Greece. 1168 (2), pp.1213-1217, 2009, American Institute of Physics Conference Proceedings
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http://hal.cirad.fr/cirad-00454770
Contributeur : Yves Dumont <>
Soumis le : mardi 9 février 2010 - 11:54:38
Dernière modification le : jeudi 11 janvier 2018 - 06:15:35

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Yves Dumont, Roumen Anguelov, Jean M.-S Lubuma, Meir Shillor. Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model. ICNAAM 2009, Sep 2009, Rethymno, Greece. 1168 (2), pp.1213-1217, 2009, American Institute of Physics Conference Proceedings. 〈cirad-00454770〉

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