Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model

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.
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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  • HAL Id : cirad-00454770, version 1

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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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