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

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.

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:
climate adaptation and mitigation
differential equation model
ticks life-cycle model
tick life-cycle growth model
positive operators
spectral theory
quasi-compactness
temperature
goal 13 climate action
basic reproduction number