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

Published Date
May 09, 2022
Type
Journal Article
A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach
Authors:
Mamadou Sadio Ndongo
Papa Ibrahima Ndiaye, Papa Ibrahima Ndiaye, Papa Ibrahima Ndiaye, Mohamed Gharbi, Mourad Rekik, Slimane BenMiled, Mohamed Aziz Darghouth

he 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 intrastage 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.

Citation:
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.
Keywords:
spectral theory
quasi-compactness
positive operators
ticks life-cycle model
basic reproduction number
differential equation model
tick life-cycle growth model
temperature