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

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Title A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach
 
Creator Ndongo, Mamadou Sadio
 
Contributor Ibrahima Ndiaye, Papa
Gharbi, Mohamed
Rekik, Mourad
BenMiled, Slimane
Darghouth, Mohamed Aziz
 
Subject climate adaptation and mitigation
differential equation model
ticks life-cycle model
tick life-cycle growth model
positive operators
spectral theory
quasi-compactness
 
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.
 
Date 2022-05-10T20:07:13Z
2022-05-10T20:07:13Z
 
Type Journal Article
 
Identifier https://mel.cgiar.org/dspace/limited
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.
https://hdl.handle.net/20.500.11766/67421
Timeless limited access
 
Language en
 
Format PDF
 
Publisher Springer (part of Springer Nature)
 
Source Journal of Mathematical Biology;84,(2022)