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Implementation of control strategies for sterile insect techniques
Pierre-Alexandre Bliman1, Daiver Cardona-Salgado2, Yves Dumont3
1Sorbonne Université, Université Paris-Diderot SPC, Inria, CNRS, Laboratoire Jacques-Louis Lions, équipe Mamba, Paris, France.
This study introduces a mathematical model for controlling Aedes mosquitoes using sterile male releases. The research demonstrates that both open-loop and closed-loop strategies can eliminate wild mosquito populations, with mixed strategies proving most effective.
Area of Science:
- Entomology
- Mathematical Modeling
- Vector Control
Background:
- Mosquito-borne diseases pose significant public health challenges.
- Effective vector control strategies are crucial for disease prevention.
- Sterile insect technique is a promising method for mosquito population suppression.
Purpose of the Study:
- To develop and analyze a sex-structured entomological model for mosquito control.
- To evaluate the efficacy of sterile male mosquito releases for population elimination.
- To compare different release strategies: constant, periodic impulsive, open-loop, closed-loop, and mixed.
Main Methods:
- Development of a sex-structured mathematical model for Aedes mosquitoes.
- Analysis of periodic impulsive control strategies for sterile male releases.
- Simulation and theoretical analysis of open-loop, closed-loop, and mixed control strategies.
- Derivation of sufficient conditions for population elimination.
Main Results:
- Sufficient conditions for mosquito population elimination were established for different release strategies.
- Open-loop control (constant releases) guarantees elimination under specific release size and frequency conditions.
- Closed-loop control (adaptive releases) and mixed strategies offer enhanced efficiency in terms of time and resource utilization.
Conclusions:
- Sterile male mosquito releases, particularly using periodic impulsive strategies, are effective for vector population elimination.
- Mixed control strategies combining open-loop and closed-loop approaches yield the best results for rapid and resource-efficient elimination.
- The proposed model provides a framework for designing optimized sterile insect release programs.
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