American Institute of Mathematical Sciences

Advanced
2010, 7(2): 313-345. doi: 10.3934/mbe.2010.7.313

Vector control for the Chikungunya disease

Yves Dumont 1, and  Frederic Chiroleu 2,

1. 

CIRAD, Umr AMAP, Montpellier, F-34000, France
2. 

CIRAD, Umr PVBMT, Saint-Pierre, F-97410, France

Received  June 2009 Revised  January 2010 Published  April 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.
Keywords: Chikungunya, numerical simulation., differential equation, vector control, equilibrium, vector-borne disease, nonstandard finite difference method, basic reproduction number, global stability.
Mathematics Subject Classification: Primary: 92-08, 92D30, 37M05; Secondary: 65L12, 92C6.
Citation: Yves Dumont, Frederic Chiroleu. Vector control for the Chikungunya disease. Mathematical Biosciences & Engineering, 2010, 7 (2) : 313-345. doi: 10.3934/mbe.2010.7.313
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