Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911267991584768 |
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| author | Bargo, Marius Simpore, Yacouba |
| author_facet | Bargo, Marius Simpore, Yacouba |
| contents | This paper presents an age-structured, non-autonomous logistic model describing the aquatic and adult stages of the dynamics of malaria-vector mosquitoes. We propose a biological control strategy targeting the aquatic compartment and implement a tracking control for its emergence. A feedback control law guarantees stabilization of the emergent population density, specifically the global asymptotic stability of the logistic model. Additionally, a feedforward controller combined with feedback is introduced to steer the emergent density toward a time-varying reference trajectory. The analytical findings are corroborated and illustrated by numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model Bargo, Marius Simpore, Yacouba Analysis of PDEs Dynamical Systems Adaptation and Self-Organizing Systems This paper presents an age-structured, non-autonomous logistic model describing the aquatic and adult stages of the dynamics of malaria-vector mosquitoes. We propose a biological control strategy targeting the aquatic compartment and implement a tracking control for its emergence. A feedback control law guarantees stabilization of the emergent population density, specifically the global asymptotic stability of the logistic model. Additionally, a feedforward controller combined with feedback is introduced to steer the emergent density toward a time-varying reference trajectory. The analytical findings are corroborated and illustrated by numerical simulations. |
| title | Global stabilization and emergence tracking via aquatic control in an age-structured mosquito model |
| topic | Analysis of PDEs Dynamical Systems Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2511.12289 |