Nicolas Bacaër ; Hisashi Inaba ; Ali Moussaoui - A mathematical model for a partial demographic transition

arima:6713 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, February 24, 2021, Volume 32 - 2019 - 2021 - https://doi.org/10.46298/arima.6713
A mathematical model for a partial demographic transition

Authors: Nicolas Bacaër ; Hisashi Inaba ; Ali Moussaoui

    We study a mathematical model for the demographic transition. It is a homogeneous differential system of degree one. There are two age groups and two fertility levels. Low fertility extends by mimicry to adults with high fertility. When the mimicry coefficient increases, the system crosses two thresholds between which the population increases or decreases exponentially with a stable mixture of the two fertility rates. This partial demographic transition is reminiscent of the situation in some countries of sub-Saharan Africa.


    Volume: Volume 32 - 2019 - 2021
    Published on: February 24, 2021
    Accepted on: January 19, 2021
    Submitted on: August 14, 2020
    Keywords: Demografie,Mathematisches Modell,Homogenes System,Demografie,Demography,Mathematical model,Homogeneous system,Demography,Démographie,Modèle mathématique,Système homogène,Démographie,[MATH]Mathematics [math],[SHS.DEMO]Humanities and Social Sciences/Demography

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