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Mathematical modeling of demographic processes

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The article examines a mathematical model that describes the dynamics of the total population and its age structure. Time-dependent birth and death rates are assumed. The mathematical model is a first-order partial differential equation. The analytical solution makes it possible to determine the age distribution at each time instant depending on the birth and death functions and the initial distribution. The model can be used for demographic planning and forecasting. It has been applied to analyze the demographics of Russia.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    V. I. Dmitriev & E. S. Kurkina

Authors
  1. V. I. Dmitriev
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  2. E. S. Kurkina
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Correspondence to V. I. Dmitriev.

Additional information

Translated from Prikladnaya Matematika i Informatika, No. 28, pp. 50–65, 2008.

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Dmitriev, V.I., Kurkina, E.S. Mathematical modeling of demographic processes. Comput Math Model 20, 51–64 (2009). https://doi.org/10.1007/s10598-009-9019-0

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  • DOI: https://doi.org/10.1007/s10598-009-9019-0

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