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| HAL: cirad-00454770, version 1 |
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| ICNAAM 2009, Rethymno : Grèce (2009) |
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| Dynamically consistent non-standard finite difference schemes for the MSEIR epidemiological model |
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| Yves Dumont 1Roumen Anguelov |
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| (2009) |
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| 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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| 1: | BotAnique et BioinforMatique de l'Architecture des Plantes (AMAP) |
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Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR51 – CNRS : UMR5120 – Institut de recherche pour le développement [IRD] – Institut national de la recherche agronomique (INRA) : UR0931 – Université Montpellier II - Sciences et techniques |
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| subject | : | Mathematics/Numerical Analysis Mathematics/Dynamical Systems Life Sciences/Santé publique et épidémiologie |
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| Dynamical systems – asymptotic stability – conservation of population – positivity – non-standard finite difference method |
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| cirad-00454770, version 1 | |
| http://hal.cirad.fr/cirad-00454770 | |
| oai:hal.cirad.fr:cirad-00454770 | |
| From: Yves Dumont | |
| Submitted on: Tuesday, 9 February 2010 11:54:38 | |
| Updated on: Tuesday, 9 February 2010 14:50:12 | |
