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Mathematical Biosciences and Engineering 7, 2 (2010) 315-348
Vector control for the Chikungunya Disease
Yves Dumont ( ) 1, Frédéric Chiroleu 2
(05/04/2010)

We previously proposed a compartmental model to explain the outbreak of Chikungunya disease in Réunion Island, a French territory in Indian Ocean, and other countries in 2005 and possible links with the explosive epidemic of 2006. In the present paper, we asked whether it would have been possible to contain or stop the epidemic of 2006 through appropriate mosquito control tools. Based on new results on the Chikungunya virus, its impact on mosquito life-span, and several experiments done by health authorities, we studied several types of control tools used in 2006 to contain the epidemic. We present an analysis of the model, and we develop a new nonstandard finite difference scheme to provide several simulations with and without mosquito control. Our preliminary study shows that an early use of a combination of massive spraying and mechanical control (like the destruction of breeding sites) can be efficient, to stop or contain the propagation of Chikungunya infection, with a low impact on the environment.
1 :  BotAnique et BioinforMatique de l'Architecture des Plantes (AMAP)
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
2 :  Peuplements végétaux et bioagresseurs en milieu tropical (PVBMT)
Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR53 – Université de la Réunion
Mathématiques/Analyse numérique

Mathématiques/Systèmes dynamiques

Sciences du Vivant/Santé publique et épidémiologie
Chikungunya – vector-borne disease – vector control – differential equation – basic reproduction number – equilibrium – global stability – nonstandard finite difference method – numerical simulation