Mathematical modeling of malaria transmission global dynamics: taking into account the release of Wolbachia-infected male mosquitoes
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| Názov: | Mathematical modeling of malaria transmission global dynamics: taking into account the release of Wolbachia-infected male mosquitoes |
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| Autori: | Abdoulaye Kaboré, Wendpanga Birba, Boureima Sangaré |
| Zdroj: | Mathematical and Computer Modelling of Dynamical Systems, Vol 31, Iss 1 (2025) |
| Informácie o vydavateľovi: | Taylor & Francis Group, 2025. |
| Rok vydania: | 2025 |
| Zbierka: | LCC:Mathematics LCC:Applied mathematics. Quantitative methods |
| Predmety: | Malaria transmission, Wolbachia-infected males, basic reproduction number, stability analysis, control strategies, numerical simulations, Mathematics, QA1-939, Applied mathematics. Quantitative methods, T57-57.97 |
| Popis: | This article presents a mathematical model of malaria transmission dynamics that integrates the release of Wolbachia-infected male mosquitoes with mechanical control strategies and larvicide treatment. A key aspect of our analysis is the determination of the basic reproduction number, [Formula: see text], which reveals a critical relationship with the number of Wolbachia-infected male mosquitoes released. We identified two equilibrium states: the disease-free equilibrium, where malaria is eradicated, and the endemic equilibrium, where the disease persists. By constructing a suitable Lyapunov function, we demonstrated the global asymptotic stability of the disease-free equilibrium when [Formula: see text]. For [Formula: see text], we examined the local asymptotic stability of the endemic equilibrium. To illustrate our theoretical findings, we conducted numerical simulations across diverse scenarios. Our results highlight the potential of Wolbachia-infected male mosquitoes releases interventions to significantly impact malaria transmission, particularly when combined with mechanical control and larvicide treatment. |
| Druh dokumentu: | article |
| Popis súboru: | electronic resource |
| Jazyk: | English |
| ISSN: | 1744-5051 1387-3954 |
| Relation: | https://doaj.org/toc/1387-3954; https://doaj.org/toc/1744-5051 |
| DOI: | 10.1080/13873954.2025.2500439 |
| Prístupová URL adresa: | https://doaj.org/article/a977dc76013542c89f1079b5b962b8be |
| Prístupové číslo: | edsdoj.977dc76013542c89f1079b5b962b8be |
| Databáza: | Directory of Open Access Journals |
Nájsť tento článok vo Web of Science | Abstrakt: | This article presents a mathematical model of malaria transmission dynamics that integrates the release of Wolbachia-infected male mosquitoes with mechanical control strategies and larvicide treatment. A key aspect of our analysis is the determination of the basic reproduction number, [Formula: see text], which reveals a critical relationship with the number of Wolbachia-infected male mosquitoes released. We identified two equilibrium states: the disease-free equilibrium, where malaria is eradicated, and the endemic equilibrium, where the disease persists. By constructing a suitable Lyapunov function, we demonstrated the global asymptotic stability of the disease-free equilibrium when [Formula: see text]. For [Formula: see text], we examined the local asymptotic stability of the endemic equilibrium. To illustrate our theoretical findings, we conducted numerical simulations across diverse scenarios. Our results highlight the potential of Wolbachia-infected male mosquitoes releases interventions to significantly impact malaria transmission, particularly when combined with mechanical control and larvicide treatment. |
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| ISSN: | 17445051 13873954 |
| DOI: | 10.1080/13873954.2025.2500439 |