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

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

Yves Dumont, Roumen Anguelov, Jean M.-S Lubuma et Meir Shillor
Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2009, Vol.1168(2), pp.1213-1217
American Institute of Physics Conference Proceedings
ICNAAM 2009 (Rethymno, Greece, 18/09/2009–22/09/2009)
2009

Résumé

Dynamical systems asymptotic stability conservation of population positivity non-standard finite difference method AMS (2000): 37N25, 37L30, 65L12, 65P99, 92D30
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.

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