Abstract

To prevent epidemics of mosquito-transmitted diseases like Chikungunya in RВґeunion Island, we develop tools to control its principal vector, Aedes albopictus. Biological control tools, like the Sterile Insect Technique (SIT), are of great interest as an alternative to chemical control tools which are very detrimental to environment. The success of SIT is based on a good knowlege of the biology of the insect, but also on an accurate modeling of the insects distribution. We model the mosquito dispersal with a system of coupled parabolic PDEs. 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.

Highlights

  • After a huge epidemic in Reunion Island and in India in 2006, it appeared for the first time in Europe, in Italy, in 2007

  • Sterile Insect Technique (SIT) consists in releasing sterilized male mosquitoes that will mate with wild females which won’t be able to have offspring

  • The success of SIT is based on a good knowledge of the biology and the behavior of the vector, and on an accurate modeling of its dispersal to optimize the impact of sterile males

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Summary

INTRODUCTION

SIT consists in releasing sterilized male mosquitoes that will mate with wild females which won’t be able to have offspring. This will lead to the decrease of the vector population [4], [5]. In a previous paper [6], we have considered a dispersal model with only adult females splitted in two compartments: the blood meal searchers and the breeding site searchers. This led to a system of two partial differential equations. We end the paper with some numerical simulations with and without chemical or biological control

THE MATHEMATICAL MODEL
The Compartmental Model
SIMULATIONS AND DISCUSSIONS
The Numerical Methods
Findings
CONCLUSION
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