Basic offspring number and robust feedback design for the biological control of vectors by sterile insect release technique
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912491650416640 |
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| author | Bliman, Pierre-Alexandre |
| author_facet | Bliman, Pierre-Alexandre |
| contents | Sterile Insect Technique (SIT) is a promising control method against insect pests and insect vectors. It consists in releasing males previously sterilized in laboratory, in order to reduce or eliminate a specific wild population. We study in this paper the implementation by feedback control of SIT-based elimination campaign of Aedes mosquitoes. We provide state-feedback and output-feedback control laws and establish their convergence, as well as their robustness properties. In this design procedure, a pivotal role is played by the average number of secondary female insects produced by a single female insect, called basic offspring number, and by the use of properties of monotone systems. Illustrative simulations are provided. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_23729 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Basic offspring number and robust feedback design for the biological control of vectors by sterile insect release technique Bliman, Pierre-Alexandre Populations and Evolution Dynamical Systems Sterile Insect Technique (SIT) is a promising control method against insect pests and insect vectors. It consists in releasing males previously sterilized in laboratory, in order to reduce or eliminate a specific wild population. We study in this paper the implementation by feedback control of SIT-based elimination campaign of Aedes mosquitoes. We provide state-feedback and output-feedback control laws and establish their convergence, as well as their robustness properties. In this design procedure, a pivotal role is played by the average number of secondary female insects produced by a single female insect, called basic offspring number, and by the use of properties of monotone systems. Illustrative simulations are provided. |
| title | Basic offspring number and robust feedback design for the biological control of vectors by sterile insect release technique |
| topic | Populations and Evolution Dynamical Systems |
| url | https://arxiv.org/abs/2410.23729 |