1. A sex-structured model of Wolbachia invasion to design sex-biased release strategies in Aedes spp mosquitoes populations
- Author
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Pierre-Alexandre Bliman, Yves Dumont, Oscar Eduardo Escobar-Lasso, Hector J. Martinez-Romero, Olga Vasilieva, 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), AMAP Lab [Saint-Pierre - La réunion], 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)-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], Universidad del Valle [Cali] (Univalle), E. Escobar, Hector J. Martinez, and Olga Vasilieva acknowledge financial support from the National Fund for Science, Technology, and Innovation (Autonomous Heritage Fund Francisco José de Caldas) by way of the Research Program No. 1106-852-69523, Contract: CT FP 80740-439-2020 (Colombian Ministry of Science, Technology, and Innovation – Minciencias), Grant ID: CI-71241 (Universidad del Valle). The endorsement obtained from the STIC AmSud Program for regional cooperation (20-STIC-05 NEMBICA project) is gratefully recognized by all authors., Yves Dumont 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). Yves Dumont acknowledges the support of DST/NRF Incentive Grant (Grant 119898) and the support of the Conseil Régional de la Réunion, the Conseil Départemental de la Réunion, the European Agricultural Fund for Rural Development (EAFRD) and the Centre de Coopération Internationale en Recherche Agronomique pour le Développement (CIRAD)., Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPC)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPC), Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-Université de Montpellier (UM)-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), and E. Escobar, Hector J. Martinez, and Olga Vasilieva acknowledge financial support from the National Fund for Science, Technology, and Innovation (Autonomous Heritage Fund Francisco José de Caldas) by way of the Research Program No. 1106-852-69523, Contract: CT FP 80740-439-2020 (Colombian Ministry of Science, Technology, and Innovation – Minciencias), Grant ID: CI-71241 (Universidad del Valle). The endorsement obtained from the STIC AmSud Program for regional cooperation (20-STIC-05 NEMBICA project) is gratefully recognized by all authors. Yves Dumont 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). Yves Dumont acknowledges the support of DST/NRF Incentive Grant (Grant 119898) and the support of the Conseil Régional de la Réunion, the Conseil Départemental de la Réunion, the European Agricultural Fund for Rural Development (EAFRD) and the Centre de Coopération Internationale en Recherche Agronomique pour le Développement (CIRAD).
- Subjects
Applied Mathematics ,biochemical phenomena, metabolism, and nutrition ,Aedes spp ,Male-biased releases ,Population replacement ,Modeling and Simulation ,parasitic diseases ,Numerical simulations ,bacteria ,[SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,Qualitative Analysis ,[MATH]Mathematics [math] ,Sex-structured model ,Wolbachia symbiont ,reproductive and urinary physiology ,Ordinary differential equations - Abstract
Laboratory experiments as well as some field essays have revealed that the intracellular bacterium Wolbachia, deliberately introduced in Aedes spp female mosquitoes, drastically reduces their vector competence for dengue virus and, also, other mosquito-borne viral diseases. However, female mosquitoes infected with Wolbachia still need to ingest human blood while male mosquitoes, either wild or Wolbachia-carrying, do not bite people. As such, Wolbachia-carrying females may transmit the virus to people during blood-feeding, even though with far less probability than the wild ones. Therefore, massive releases of Wolbachia-carrying females may increase both the nuisance and the epidemiological risk among human residents. With the goal of exploring in depth the practical aspects of sex-biased releases, we introduce in this paper a simple sex-structured model of Wolbachia invasion that brings forward the possibility of developing male-biased release strategies of Wolbachia-carriers leading to Wolbachia invasion. Thanks to this model, we study at length the minimal amount of mosquitoes necessary to complete this task, according to the relative sex-ratio of the released mosquitoes and the release schedule. We also pay attention to the estimate of the time needed to achieve the ultimate population replacement.
- Published
- 2023
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