A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach

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dc.creatorNdongo, Mamadou Sadio
dc.creatorIbrahima Ndiaye, Papa
dc.creatorGharbi, Mohamed
dc.creatorRekik, Mourad
dc.creatorBenMiled, Slimane
dc.creatorDarghouth, Mohamed Aziz
dc.date2023-01-04T21:56:31Z
dc.date2023-01-04T21:56:31Z
dc.date.accessioned2026-06-27T14:24:04Z
dc.descriptionThe 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.
dc.formatapplication/pdf
dc.identifierhttps://hdl.handle.net/10568/126581
dc.identifier.urihttp://hdl.handle.net/123456789/78591
dc.languageen
dc.publisherSpringer
dc.rightsLimited Access
dc.sourceMamadou 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.
dc.subjecttemperature
dc.subjectgoal 13 climate action
dc.subjectbasic reproduction number
dc.subjectclimate adaptation and mitigation
dc.subjectdifferential equation model
dc.subjectticks life-cycle model
dc.subjecttick life-cycle growth model
dc.subjectpositive operators
dc.subjectspectral theory
dc.subjectquasi-compactness
dc.titleA climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach
dc.typeJournal Article

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Centro Internacional para la Investigación Agrícola en las Áreas Secas (ICARDA)