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

Anguelov Roumen, Dumont Yves, Lubuma Jean, Shillor M.. 2009. Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model. In : Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymno, Crete, Greece, 18-22 September 2009. Psihoyios George (ed.), Tsitouras C. (ed.), Simos Theodore E. (ed.). AIP. Melville : AIP, pp. 1213-1216. (AIP Conference proceedings, 1168) ISBN 978-0-7354-0709-1 International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymnon, Grèce, 18 September 2009/22 September 2009.

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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. (Résumé d'auteur)

Classification Agris : U10 - Mathematical and statistical methods
L73 - Animal diseases

Auteurs et affiliations

  • Anguelov Roumen, University of Pretoria (ZAF)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X
  • Lubuma Jean, University of Pretoria (ZAF)
  • Shillor M., Oakland University (USA)

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Source : Cirad - Agritrop (https://agritrop.cirad.fr/554448/)

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