Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models.
Autor: | Bliman PA; MAMBA, Inria Paris, France; LJLL, Sorbonne University, CNRS, 5 Place Jussieu, 75005 Paris, France., Nguyen N; MAMBA, Inria Paris, France; LJLL, Sorbonne University, CNRS, 5 Place Jussieu, 75005 Paris, France; LAGA, CNRS UMR 7539, Institut Galilée, University Sorbonne Paris Nord, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France. Electronic address: thiquynhnga.nguyen@math.univ-paris13.fr., Vauchelet N; LAGA, CNRS UMR 7539, Institut Galilée, University Sorbonne Paris Nord, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France. |
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Jazyk: | angličtina |
Zdroj: | Mathematical biosciences [Math Biosci] 2024 Nov; Vol. 377, pp. 109290. Date of Electronic Publication: 2024 Sep 06. |
DOI: | 10.1016/j.mbs.2024.109290 |
Abstrakt: | The Sterile Insect Technique (SIT) is one of the sustainable strategies for the control of disease vectors, which consists of releasing sterilized males that will mate with the wild females, resulting in a reduction and, eventually a local elimination, of the wild population. The implementation of the SIT in the field can become problematic when there are inaccessible areas where the release of sterile insects cannot be carried out directly, and the migration of wild insects from these areas to the treated zone may influence the efficacy of this technique. However, we can also take advantage of the movement of sterile individuals to control the wild population in these unreachable places. In this paper, we derive a two-patch model for Aedes mosquitoes where we consider the discrete diffusion between the treated area and the inaccessible zone. We investigate two different release strategies (constant and impulsive periodic releases), and by using the monotonicity of the model, we show that if the number of released sterile males exceeds some threshold, the technique succeeds in driving the whole population in both areas to extinction. This threshold depends on not only the biological parameters of the population but also the diffusion between the two patches. Competing Interests: Declaration of competing interest The authors certify that they have NO affiliations with or involvement in any organization or entity with any financial interest (such as honoraria; educational grants; participation in speakers’ bureaus; membership, employment, consultancies, stock ownership, or other equity interest; and expert testimony or patent-licensing arrangements), or non-financial interest (such as personal or professional relationships, affiliations, knowledge or beliefs) in the subject matter or materials discussed in this manuscript. (Copyright © 2024 The Author(s). Published by Elsevier Inc. All rights reserved.) |
Databáze: | MEDLINE |
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