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Comparison of some standard and nonstandard numerical methods 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 : The paper presents some non-standard finite difference methods for the MSEIR model. Following a short description of the methods, they are compared with the standard methods usually implemented in scientific software. It is shown that the non-standard schemes are superior to the standard ones with respect to their qualitative properties and the CPU running time. We show that non-local approximations of non linear terms in the equations can be of utmost importance to capture the dynamic of the system.
Keywords : Dynamical system Non-standard finite difference methods numerical simulations
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Conference papers
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http://hal.cirad.fr/cirad-00455049
Contributor : Yves Dumont <>
Submitted on : Tuesday, February 9, 2010 - 2:47:27 PM
Last modification on : Tuesday, March 17, 2020 - 3:11:52 AM

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  • HAL Id : cirad-00455049, version 1

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Yves Dumont, Roumen Anguelov, Jean M.-S Lubuma, Meir Shillor. Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model. ICNAAM 2009, Sep 2009, Rethymno, Greece. pp.1209-1212. ⟨cirad-00455049⟩

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