Résumé
Malaria is one of the most common mosquito-borne diseases widespread in
tropical and subtropical regions, causing thousands of deaths every year in the
world. In a previous paper, we formulated an age-structured model containing
three structural variables: (i) the chronological age of human and mosquito
populations, (ii) the time since they are infected, and (iii) humans waning
immunity (i.e. the progressive loss of protective antibodies after recovery).
In the present paper, we expand the analysis of this age-structured model and
focus on the derivation of entomological and epidemiological results commonly
used in the literature, following the works of Smith and McKenzie. We
generalize their results to the age-structured case. In order to quantify the
impact of neglecting structuring variables such as chronological age, we
assigned values from the literature to our model parameters. While some
parameters values are readily accessible from the literature, at least those
about the human population, the parameters concerning mosquitoes are less
commonly documented and the values of a number of them (e.g. mosquito survival
in the presence or in absence of infection) can be discussed extensively.