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Spatio-temporal modeling of mosquito distribution

Dumont Y., Dufourd C.. 2012. In : eds. Todorov Michail D., Christov Christo I. Application of Mathematics in Technical and Natural Sciences : Proccedings of the 3rd International Conference - AMiTaNS'11, Albena, Bulgaria, 20-25 June 2011. Melville : AIP, p. 162-167. (AIP Conference Proceedings, 1404). International Conference on Application of Mathematics in Technical and Natural Sciences 2011, 2011-06-20/2011-06-25, Albena (Bulgarie).

DOI: 10.1063/1.3659916

We consider a quasilinear parabolic system to model mosquito displacement. In order to use efficiently vector control tools, like insecticides, and mechanical control, it is necessary to provide density estimates of mosquito populations, taking into account the environment and entomological knowledges. After a brief introduction to mosquito dispersal modeling, we present some theoretical results. Then, considering a compartmental approach, we get a quasilinear system of PDEs. Using the time splitting approach and appropriate numerical methods for each operator, we construct a reliable numerical scheme. Considering vector control scenarii, we show that the environment can have a strong influence on mosquito distribution and in the efficiency of vector control tools.

Mots-clés : culicidae; aedes albopictus; dynamique des populations; facteur du milieu; modèle mathématique; distribution spatiale; vecteur de maladie; virus de chikungunya; réunion; france

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