Optimal release of mosquitoes to control dengue transmission

Luis Almeida; Antoine Haddon; Claire Kermorvant; Alexis Léculier; Yannick Privat; Martin Strugarek; Nicolas Vauchelet; Jorge P. Zubelli

doi:10.1051/proc/202067002

Geodesic

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Optimal release of mosquitoes to control dengue transmission

Luis Almeida ¹ ; Antoine Haddon ^2,³ ; Claire Kermorvant ⁴ ; Alexis Léculier ⁵ ; Yannick Privat ⁶ ; Martin Strugarek ¹ ; Nicolas Vauchelet ⁷ ; Jorge P. Zubelli ⁸

¹ Sorbonne Université, CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France.
² MISTEA, Université Montpellier, INRA, Montpellier SupAgro, 2 pl. Viala, 34060 Montpellier, France.
³ Mathematical Engineering Department and Center for Mathematical Modelling (CNRS UMI 2807), Universidad de Chile, Beauchef 851, Santiago, Chile
⁴ CNRS, Univ Pau & Pays Adour, E2S UPPA, Laboratoire de Mathématiques et de leurs Applications de Pau, MIRA, UMR 5142, 64600, Anglet, France.
⁵ Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 route de Narbonne, F-31062 Toulouse Cedex 9.
⁶ IRMA, Université de Strasbourg, CNRS UMR 7501, Équipe TONUS, 7 rue René Descartes, 67084 Strasbourg, France.
⁷ LAGA, UMR 7539, CNRS, Université Paris 13 -Sorbonne Paris Cité, Université Paris 8, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse - France.
⁸ IMPA, Estrada Dona Castorina, 110 Jardim Botânico 22460-320 Rio de Janeiro, RJ -Brazil.

ESAIM. Proceedings, Tome 67 (2020), pp. 16-29.

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Résumé

In order to prevent the propagation of human diseases transmitted by mosquitoes (as dengue or zika), a solution is to release mosquitoes infected by Wolbachia. In this study, we model the release and the propagation over time and space of such infected mosquitoes in a population of uninfected ones. The aim of this study is to investigate the best location in space of the release to ensure invasion by the infected mosquitoes.

DOI : 10.1051/proc/202067002

Affiliations des auteurs :

Luis Almeida ¹ ; Antoine Haddon ^{2, 3} ; Claire Kermorvant ⁴ ; Alexis Léculier ⁵ ; Yannick Privat ⁶ ; Martin Strugarek ¹ ; Nicolas Vauchelet ⁷ ; Jorge P. Zubelli ⁸

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     author = {Luis Almeida and Antoine Haddon and Claire Kermorvant and Alexis L\'eculier and Yannick Privat and Martin Strugarek and Nicolas Vauchelet and Jorge P. Zubelli},
     title = {Optimal release of mosquitoes to control dengue transmission},
     journal = {ESAIM. Proceedings},
     pages = {16--29},
     publisher = {mathdoc},
     volume = {67},
     year = {2020},
     doi = {10.1051/proc/202067002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202067002/}
}

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Luis Almeida; Antoine Haddon; Claire Kermorvant; Alexis Léculier; Yannick Privat; Martin Strugarek; Nicolas Vauchelet; Jorge P. Zubelli. Optimal release of mosquitoes to control dengue transmission. ESAIM. Proceedings, Tome 67 (2020), pp. 16-29. doi : 10.1051/proc/202067002. http://geodesic.mathdoc.fr/articles/10.1051/proc/202067002/

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