Session S20 - Applied Math and Computational Methods and Analysis across the Americas

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Modeling, control, and simulation of Mendelian and maternal inheritance, with application to the biological control of dengue vectors

Pastor E. Pérez Estigarribia

Facultad Politécnica - Universidad Nacional de Asunción, Paraguay   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The fight against arboviruses such as dengue consists largely in controlling mosquito vector populations. The modeling and simulation of simultaneous control strategies can provide key insights to avoid costly field trials. We are here interested in a biological control method based on the intentional infection of the wild mosquito population by the bacterium Wolbachia, which has the property to reduce greatly their competence as a vector of various arboviruses. We provide and study a mathematical model for mixtures of Wolbachia infected and uninfected populations, including a combination of attributes of autosomal inheritance for insecticide resistance and maternal inheritance for Wolbachia. A feedback control law for the release of specific genotypes of mosquitoes infected with Wolbachia is given and analyzed. Finally, computational simulations are presented, which illustrate the influence that some factors should have on the release campaigns of genotype-specific mosquitoes infected with Wolbachia.

Joint work with Pastor E Pérez-Estigarribia (Polytechnic School, National University of Asunción, P.O. Box 2111 SL, San Lorenzo, Paraguay. Electronic address: This email address is being protected from spambots. You need JavaScript enabled to view it.), Pierre-Alexandre Bliman (Sorbonne Université, Université Paris-Diderot SPC, Inria, CNRS, Laboratoire Jacques-Louis Lions, équipe Mamba, 75005 Paris, France. Electronic address: This email address is being protected from spambots. You need JavaScript enabled to view it.) and Christian E. Schaerer (Polytechnic School, National University of Asunción, P.O. Box 2111 SL, San Lorenzo, Paraguay. Electronic address: This email address is being protected from spambots. You need JavaScript enabled to view it.).

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