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

Authors

Mamadou Sadio Ndongo, Papa Ibrahima Ndiaye, Mohamed Gharbi, Mourad Rekik, Slimane BenMiled, Mohamed Aziz Darghouth

Published in

Journal of mathematical biology. Volume 84. Issue 6. Pages 52. May 09, 2022. Epub May 09, 2022.

Abstract

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 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 [Formula: see text] of the tick population.

PMID:
35532864
Bibliographic data and abstract were imported from PubMed on 15 Nov 2026.

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