Implementation of control strategies for sterile insect techniques

Show simple item record Bliman, Pierre-Alexandre Cardona-Salgado, Daiver Dumont, Yves Vasilieva, Olga 2019-07-16T06:54:40Z 2019-08
dc.description.abstract 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 sufficient 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 the releases or more sparse) of the wild population size are available in real time, we propose the so-called closed-loop control strategy, under which the release size is adjusted in accordance with the wild population size estimate. 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. en_ZA
dc.description.department Mathematics and Applied Mathematics en_ZA
dc.description.embargo 2020-08-01
dc.description.librarian hj2019 en_ZA
dc.description.sponsorship Support from the Colciencias – ECOS-Nord Program (Colombia: Project CI-71089; France: Project C17M01) is kindly acknowledged. DC and OV were supported by Colciencias through 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. en_ZA
dc.description.uri en_ZA
dc.identifier.citation Bliman, P.-A., Cardona-Salgado, D., Dumont, Y. et al. 2019, 'Implementation of control strategies for sterile insect techniques', Mathematical Biosciences, vol. 314, pp. 43-60. en_ZA
dc.identifier.issn 0025-5564 (print)
dc.identifier.issn 1879-3134 (online)
dc.identifier.other 10.1016/j.mbs.2019.06.002
dc.language.iso en en_ZA
dc.publisher Elsevier en_ZA
dc.rights © 2019 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Mathematical Biosciences. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Mathematical Biosciences, vol. 314, pp. 43-60, 2019. doi : [12 months embargo] en_ZA
dc.subject Saturated control en_ZA
dc.subject Exponential convergence en_ZA
dc.subject Global stability en_ZA
dc.subject Periodic impulsive control en_ZA
dc.subject Sterile insect technique en_ZA
dc.subject Open-loop control en_ZA
dc.subject Closed-loop control en_ZA
dc.title Implementation of control strategies for sterile insect techniques en_ZA
dc.type Postprint Article en_ZA

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