Ensuring successful introduction of Wolbachia in natural populations of Aedes aegypti by means of feedback control

Pierre-Alexandre Bliman 1, 2 M. Soledad Aronna 1 Flávio C. Coelho 1 Moacyr A. H. B. da Silva 1
1 FGV - Fundacao Getulio Vargas [Rio de Janeiro]
2 MAMBA - Modelling and Analysis for Medical and Biological Applications
LJLL - Laboratoire Jacques-Louis Lions, Inria de Paris
Abstract : The control of the spread of dengue fever by introduction of the intracellular parasitic bacterium Wolbachia in populations of the vector Aedes aegypti, is presently one of the most promising tools for eliminating dengue, in the absence of an efficient vaccine. The success of this operation requires locally careful planning to determine the adequate number of individuals carrying the Wolbachia parasite that need to be introduced into the natural population. The introduced mosquitoes are expected to eventually replace theWolbachia-free population and guarantee permanent protection against the transmission of dengue to human. In this study, we propose and analyze a model describing the fundamental aspects of the competition between mosquitoes carrying Wolbachia and mosquitoes free of the parasite.We then use feedback control techniques to devise an introduction protocol that is proved to guarantee that the population converges to a stable equilibrium where the totality of mosquitoes carry Wolbachia.
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Pierre-Alexandre Bliman, M. Soledad Aronna, Flávio C. Coelho, Moacyr A. H. B. da Silva. Ensuring successful introduction of Wolbachia in natural populations of Aedes aegypti by means of feedback control. Journal of Mathematical Biology, Springer Verlag (Germany), 2017, ⟨10.1007/s00285-017-1174-x⟩. ⟨hal-01579477⟩

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