1. Robust control strategy by the Sterile Insect Technique for reducing epidemiological risk in presence of vector migration
- Author
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Pierre-Alexandre Bliman, Yves Dumont, Modelling and Analysis for Medical and Biological Applications (MAMBA), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Botanique et Modélisation de l'Architecture des Plantes et des Végétations (UMR AMAP), Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD [France-Sud])-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Université de Montpellier (UM), AMAP Lab [Saint-Pierre - La réunion], Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD [France-Sud])-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Université de Montpellier (UM)-Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD [France-Sud])-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Université de Montpellier (UM), Département Systèmes Biologiques (Cirad-BIOS), Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad), Department of Mathematics and Applied Mathematics [Pretoria], University of Pretoria [South Africa], and This work is partially supported by the 'SIT feasibility project against Aedes albopictus in Reunion Island', TIS 2B (2020-2022), jointly funded by the French Ministry of Health and the European Regional Development Fund (ERDF). YD is (partially) supported by the DST/NRF SARChI Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria (Grant 82770). YD acknowledges the support of DST/NRF Incentive Grant (Grant 119898). PAB and YD acknowledge the support of the Franco-Columbian program ECOS-Nord (project C17M01), and of the program STIC AmSud (project 20-STIC-05 - NEMBICA). YD acknowledges the support of the Conseil Régional de la Réunion, the Conseil Départemental de la Réunion, the European Agricultural Fund for Rural De-velopment (EAFRD) and the Centre de Coopération Internationale en Recherche Agronomique pour le Développement (CIRAD).
- Subjects
Male ,Statistics and Probability ,Insecta ,Mosquito Control ,Mosquito Vectors ,Organisme nuisible migrateur ,General Biochemistry, Genetics and Molecular Biology ,Méthode de lutte ,Aedes ,Animals ,Humans ,Infertility, Male ,Migration rates ,General Immunology and Microbiology ,U10 - Informatique, mathématiques et statistiques ,Zika Virus Infection ,Applied Mathematics ,Sterile Insect Technique ,Lâcher d'insectes stériles ,Migration animale ,Modèle de simulation ,Zika Virus ,General Medicine ,Épidémiologie ,Vecteur de maladie ,Periodic impulsive control ,Modeling and Simulation ,Female ,Critical release rate ,[SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,General Agricultural and Biological Sciences ,L72 - Organismes nuisibles des animaux ,Open-loop and closedloop control - Abstract
International audience; The Sterile Insect Technique (SIT) is a promising technique to control mosquitoes, vectors of diseases, like dengue, chikungunya or Zika. However, its application in the field is not easy, and its success hinges upon several constraints, one of them being that the treated area must be sufficiently isolated to limit migration or re-invasion by mosquitoes from the outside. In this manuscript we study the impact of males and (fertile) females migration on SIT. We show that a critical release rate for sterile males exists for every migration level, in the context of continuous or periodic releases. In particular, when (fertile) females migration is sufficiently low, then SIT can be conducted successfully using either open-loop control or closed-loop control (or a combination of both methods) when regular measurements of the wild population are completed. Numerical simulations to illustrate our theoretical results are presented and discussed. Finally, we derive a threshold value for the females migration rate, when viruses are circulating, under which it is possible to lower the epidemiological risk in the treated area, according to the size of the human population.
- Published
- 2022