A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach
The distribution of ticks is essentially determined by the presence of climatic conditions and ecological contexts suitable for their survival and development. We build a model that explicitly takes into account each physiological state through a system of infinite differential equations where tick...
| Autores principales: | , , , , , |
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| Formato: | Journal Article |
| Lenguaje: | Inglés |
| Publicado: |
Springer
2023
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| Materias: | |
| Acceso en línea: | https://hdl.handle.net/10568/126581 |
| _version_ | 1855534159367241728 |
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| author | Ndongo, Mamadou Sadio Ibrahima Ndiaye, Papa Gharbi, Mohamed Rekik, Mourad BenMiled, Slimane Darghouth, Mohamed Aziz |
| author_browse | BenMiled, Slimane Darghouth, Mohamed Aziz Gharbi, Mohamed Ibrahima Ndiaye, Papa Ndongo, Mamadou Sadio Rekik, Mourad |
| author_facet | Ndongo, Mamadou Sadio Ibrahima Ndiaye, Papa Gharbi, Mohamed Rekik, Mourad BenMiled, Slimane Darghouth, Mohamed Aziz |
| author_sort | Ndongo, Mamadou Sadio |
| collection | Repository of Agricultural Research Outputs (CGSpace) |
| description | The distribution of ticks is essentially determined by the presence of climatic conditions and ecological contexts suitable for their survival and development. We build a model that explicitly takes into account each physiological state through a system of infinite differential equations where tick population density are structured on an infinite discrete set. We suppose that intra stage development process is temperature
dependent (Arrhenius temperatures function) and that larvae hatching and adult mortality are temperature and water vapor deficit dependent. We analysed mathematically the model and have explicit the R0 of the tick population. |
| format | Journal Article |
| id | CGSpace126581 |
| institution | CGIAR Consortium |
| language | Inglés |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Springer |
| publisherStr | Springer |
| record_format | dspace |
| spelling | CGSpace1265812026-01-22T02:11:50Z A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach Ndongo, Mamadou Sadio Ibrahima Ndiaye, Papa Gharbi, Mohamed Rekik, Mourad BenMiled, Slimane Darghouth, Mohamed Aziz temperature goal 13 climate action basic reproduction number climate adaptation and mitigation differential equation model ticks life-cycle model tick life-cycle growth model positive operators spectral theory quasi-compactness The distribution of ticks is essentially determined by the presence of climatic conditions and ecological contexts suitable for their survival and development. We build a model that explicitly takes into account each physiological state through a system of infinite differential equations where tick population density are structured on an infinite discrete set. We suppose that intra stage development process is temperature dependent (Arrhenius temperatures function) and that larvae hatching and adult mortality are temperature and water vapor deficit dependent. We analysed mathematically the model and have explicit the R0 of the tick population. 2023-01-04T21:56:31Z 2023-01-04T21:56:31Z Journal Article https://hdl.handle.net/10568/126581 en Limited Access application/pdf Springer Mamadou Sadio Ndongo, Papa Ibrahima Ndiaye, Mohamed Gharbi, Mourad Rekik, Slimane BenMiled, Mohamed Aziz Darghouth. (9/5/2022). A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach. Journal of Mathematical Biology, 84. |
| spellingShingle | temperature goal 13 climate action basic reproduction number climate adaptation and mitigation differential equation model ticks life-cycle model tick life-cycle growth model positive operators spectral theory quasi-compactness Ndongo, Mamadou Sadio Ibrahima Ndiaye, Papa Gharbi, Mohamed Rekik, Mourad BenMiled, Slimane Darghouth, Mohamed Aziz A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach |
| title | A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach |
| title_full | A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach |
| title_fullStr | A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach |
| title_full_unstemmed | A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach |
| title_short | A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach |
| title_sort | climate based model for tick life cycle positive semigroup theory on cauchy problem approach |
| topic | temperature goal 13 climate action basic reproduction number climate adaptation and mitigation differential equation model ticks life-cycle model tick life-cycle growth model positive operators spectral theory quasi-compactness |
| url | https://hdl.handle.net/10568/126581 |
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