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Abstract

Gerontology & Geriatrics Studies

Timeless, Generational Mathematical Model of the Influence of Age Structure on the Change in the Numerical Composition of living Systems

  • Open or CloseKholodnov VA1 and Viktorov АА2*

    1Kotelnikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Russia

    2State Research Center Burnasyan Federal Medical Biophysical Center of Federal Medical Biological Agency, Russia

    *Corresponding author: Viktorov АА, State Research Center Burnasyan Federal Medical Biophysical Center of Federal Medical Biological Agency, Russia

Submission: April 24, 2020;Published: July 02, 2020

DOI: 10.31031/GGS.2020.06.000630

ISSN 2578-0093
Volume 6 Issue 1

Abstract

In the present work, on the basis of the arithmetic progression of the age structure of the population, a generational, visual method is proposed for predicting the preservation, growth or decrease in the numerical composition of the population, including the human population of any region. Unlike the existing ones, this mathematical approach does not operate on the lifetime of individuals and therefore is universal, that is, applicable to any living systems. It is shown that the average number of individuals born in this generation per each heterogeneous couple is a criterion for the survival of a population the human population. However, this value depends on the age structure of simultaneously living generations. Our mathematical approach does not require any preliminary assumptions.

Keywords:Living system; Dynamics of the number of individuals; Generations; Mathematical model; Age structure; Human population

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