Implementation of Control Strategies for Sterile Insect Techniques
In: ISSN: 0025-5564 ; Mathematical Biosciences ; https://inria.hal.science/hal-01943683 ; Mathematical Biosciences, 2019, 314, pp.43-60. ⟨10.1016/j.mbs.2019.06.002⟩, 2019
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International audience ; In this paper, we propose a sex-structured entomological model that serves as a basis for design of control strategies relying on releases of sterile male mosquitoes (Aedes spp) and aiming at elimination of the wild vector population in some target locality. We consider different types of releases (constant and periodic impulsive), providing necessary conditions to reach elimination. However, the main part of the paper is focused on the study of the periodic impulsive control in different situations. When the size of wild mosquito population cannot be assessed in real time, we propose the so-called open-loop control strategy that relies on periodic impulsive releases of sterile males with constant release size. Under this control mode, global convergence towards the mosquito-free equilibrium is proved on the grounds of sufficient condition that relates the size and frequency of releases. If periodic assessments (either synchronized with releases or more sparse) of the wild population size are available in real time, we propose the so-called closed-loop control strategy, which is adjustable in accordance with reliable estimations of the wild population sizes. Under this control mode, global convergence to the mosquito- free equilibrium is proved on the grounds of another sufficient condition that relates not only the size and frequency of periodic releases but also the frequency of sparse measurements taken on wild populations. Finally, we propose a mixed control strategy that combines open-loop and closed-loop strategies. This control mode renders the best result, in terms of overall time needed to reach elimination and the number of releases to be effectively carried out during the whole release campaign, while requiring for a reasonable amount of released sterile insects.
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Implementation of Control Strategies for Sterile Insect Techniques
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Autor/in / Beteiligte Person: | Bliman, Pierre-Alexandre ; Cardona-Salgado, Daiver ; Dumont, Yves ; Vasilieva, Olga ; 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)) ; Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS) ; Universidad Autónoma de Occidente (UAO) ; Botanique et Modélisation de l'Architecture des Plantes et des Végétations (UMR AMAP) ; Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Institut National de la Recherche Agronomique (INRA)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD France-Sud ) ; Département Systèmes Biologiques (Cirad-BIOS) ; Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad) ; University of Pretoria South Africa ; Universidad del Valle Cali (Univalle) ; Support from the Colciencias – ECOS-Nord Program (Colombia: Project CI-71089 ; France: Project C17M01) is kindly acknowledged. DC and OV were supported by the inter-institutional cooperation program MathAmsud (18-MATH-05). This study was part of the Phase 2A ‘SIT feasibility project against Aedes albopictus in Reunion Island’, jointly funded by the French Ministry of Health (Convention 3800/TIS) and the European Regional Development Fund (ERDF) (Convention No. 2012-32122 and Convention No. GURDTI 2017-0583-0001899). YD was (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 also acknowledges the support of the Visiting Professor Granting Scheme from the Office of the Deputy Vice Chancellor for Research Office of the University of Pretoria. |
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Zeitschrift: | ISSN: 0025-5564 ; Mathematical Biosciences ; https://inria.hal.science/hal-01943683 ; Mathematical Biosciences, 2019, 314, pp.43-60. ⟨10.1016/j.mbs.2019.06.002⟩, 2019 |
Veröffentlichung: | HAL CCSD ; Elsevier, 2019 |
Medientyp: | academicJournal |
DOI: | 10.1016/j.mbs.2019.06.002 |
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