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Vector control for the Chikungunya disease

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2010 France English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Mathematical Biosciences and Engineering, volume 7, pages 313-345 (issn: 1551-0018,

Authors: Dumont, Yves; Chiroleu, Frédéric;

doi: 10.3934/mbe.2010.7.313

pmid: 20462292

Vector control for the Chikungunya disease

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Abstract

We previously proposed a compartmental model to explain the outbreak of Chikungunya disease in Reunion 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.

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France

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Keywords

numericalsimulation., Insecticides, maladie transmise par vecteur, chikungunya, Mosquito Control, Basic Reproduction Number, vector-borne disease, L73 - Maladies des animaux, 630, Disease Outbreaks, differential equation, Aedes, http://aims.fao.org/aos/agrovoc/c_35376, 92D30, Pyrethrins, U10 - Informatique, mathématiques et statistiques, virus de chikungunya, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], global stability, 92C60, S50 - Santé humaine, Chikungunya virus, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Biotechnology, nonstandard finite difference method, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], http://aims.fao.org/aos/agrovoc/c_8260, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], vector control, equilibrium, Models, Biological, 37M05, AMS 92-08, basic reproduction number, vecteur de maladie, Nitriles, http://aims.fao.org/aos/agrovoc/c_34142, http://aims.fao.org/aos/agrovoc/c_3081, QA1-939, Animals, Humans, Computer Simulation, Alphavirus Infections, 65L12, Insect Vectors, http://aims.fao.org/aos/agrovoc/c_6543, [SDV.SPEE] Life Sciences [q-bio]/Santé publique et épidémiologie, numerical simulation, http://aims.fao.org/aos/agrovoc/c_8164, Chikungunya Fever, [SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie, Chikungunya, virose, Reunion, TP248.13-248.65, Mathematics

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