Implementation of control strategies for sterile insect techniques
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.
Main Authors: | , , , |
---|---|
Format: | article biblioteca |
Language: | eng |
Subjects: | L73 - Maladies des animaux, Aedes, lutte biologique, stérilisation, modèle mathématique, analyse quantitative, http://aims.fao.org/aos/agrovoc/c_146, http://aims.fao.org/aos/agrovoc/c_918, http://aims.fao.org/aos/agrovoc/c_7401, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_32660, |
Online Access: | http://agritrop.cirad.fr/593031/ http://agritrop.cirad.fr/593031/1/TIS2019_Bliman_Cardona_Dumont_Vasilieva.pdf |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
dig-cirad-fr-593031 |
---|---|
record_format |
koha |
spelling |
dig-cirad-fr-5930312024-01-29T02:08:22Z http://agritrop.cirad.fr/593031/ http://agritrop.cirad.fr/593031/ Implementation of control strategies for sterile insect techniques. Bliman Pierre-Alexandre, Cardona-Salgado Daiver, Dumont Yves, Vasilieva Olga. 2019. Mathematical Biosciences, 314 : 43-60.https://doi.org/10.1016/j.mbs.2019.06.002 <https://doi.org/10.1016/j.mbs.2019.06.002> Implementation of control strategies for sterile insect techniques Bliman, Pierre-Alexandre Cardona-Salgado, Daiver Dumont, Yves Vasilieva, Olga eng 2019 Mathematical Biosciences L73 - Maladies des animaux Aedes lutte biologique stérilisation modèle mathématique analyse quantitative http://aims.fao.org/aos/agrovoc/c_146 http://aims.fao.org/aos/agrovoc/c_918 http://aims.fao.org/aos/agrovoc/c_7401 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_32660 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. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/593031/1/TIS2019_Bliman_Cardona_Dumont_Vasilieva.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1016/j.mbs.2019.06.002 10.1016/j.mbs.2019.06.002 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.mbs.2019.06.002 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1016/j.mbs.2019.06.002 info:eu-repo/grantAgreement/ERDF///// |
institution |
CIRAD FR |
collection |
DSpace |
country |
Francia |
countrycode |
FR |
component |
Bibliográfico |
access |
En linea |
databasecode |
dig-cirad-fr |
tag |
biblioteca |
region |
Europa del Oeste |
libraryname |
Biblioteca del CIRAD Francia |
language |
eng |
topic |
L73 - Maladies des animaux Aedes lutte biologique stérilisation modèle mathématique analyse quantitative http://aims.fao.org/aos/agrovoc/c_146 http://aims.fao.org/aos/agrovoc/c_918 http://aims.fao.org/aos/agrovoc/c_7401 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_32660 L73 - Maladies des animaux Aedes lutte biologique stérilisation modèle mathématique analyse quantitative http://aims.fao.org/aos/agrovoc/c_146 http://aims.fao.org/aos/agrovoc/c_918 http://aims.fao.org/aos/agrovoc/c_7401 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_32660 |
spellingShingle |
L73 - Maladies des animaux Aedes lutte biologique stérilisation modèle mathématique analyse quantitative http://aims.fao.org/aos/agrovoc/c_146 http://aims.fao.org/aos/agrovoc/c_918 http://aims.fao.org/aos/agrovoc/c_7401 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_32660 L73 - Maladies des animaux Aedes lutte biologique stérilisation modèle mathématique analyse quantitative http://aims.fao.org/aos/agrovoc/c_146 http://aims.fao.org/aos/agrovoc/c_918 http://aims.fao.org/aos/agrovoc/c_7401 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_32660 Bliman, Pierre-Alexandre Cardona-Salgado, Daiver Dumont, Yves Vasilieva, Olga Implementation of control strategies for sterile insect techniques |
description |
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. |
format |
article |
topic_facet |
L73 - Maladies des animaux Aedes lutte biologique stérilisation modèle mathématique analyse quantitative http://aims.fao.org/aos/agrovoc/c_146 http://aims.fao.org/aos/agrovoc/c_918 http://aims.fao.org/aos/agrovoc/c_7401 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_32660 |
author |
Bliman, Pierre-Alexandre Cardona-Salgado, Daiver Dumont, Yves Vasilieva, Olga |
author_facet |
Bliman, Pierre-Alexandre Cardona-Salgado, Daiver Dumont, Yves Vasilieva, Olga |
author_sort |
Bliman, Pierre-Alexandre |
title |
Implementation of control strategies for sterile insect techniques |
title_short |
Implementation of control strategies for sterile insect techniques |
title_full |
Implementation of control strategies for sterile insect techniques |
title_fullStr |
Implementation of control strategies for sterile insect techniques |
title_full_unstemmed |
Implementation of control strategies for sterile insect techniques |
title_sort |
implementation of control strategies for sterile insect techniques |
url |
http://agritrop.cirad.fr/593031/ http://agritrop.cirad.fr/593031/1/TIS2019_Bliman_Cardona_Dumont_Vasilieva.pdf |
work_keys_str_mv |
AT blimanpierrealexandre implementationofcontrolstrategiesforsterileinsecttechniques AT cardonasalgadodaiver implementationofcontrolstrategiesforsterileinsecttechniques AT dumontyves implementationofcontrolstrategiesforsterileinsecttechniques AT vasilievaolga implementationofcontrolstrategiesforsterileinsecttechniques |
_version_ |
1792499780241326080 |