Les mathématiques de la population, de Lambert à Lotka
In 1825, Benjamin Gompertz gives a mathematical formulation of the law of mortality, which, following a former one by Lambert (1772), relates survival to age. In 1844, Pierre-François Verhulst put forward a model of population growth in which the rate of growth reduces when the size of the populatio...
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| 發表在: | URI:https://journals.openedition.org/msh, |
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| 主要作者: | |
| 格式: | Article ou chapitre numérique |
| 語言: | Français |
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Mathématiques et sciences humaines
2006
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| 主題: | |
| 在線閱讀: | Accès Université d'Orléans et IFPM Accès Université d'Orléans et IFPM |
| 總結: | In 1825, Benjamin Gompertz gives a mathematical formulation of the law of mortality, which, following a former one by Lambert (1772), relates survival to age. In 1844, Pierre-François Verhulst put forward a model of population growth in which the rate of growth reduces when the size of the population increases: it is the logistic function (Lotka will, from 1907, contribute largely to this field of population dynamics, especially on the stability of the age composition of a population).During the 19th century too, Wilhelm Lexis gives estimations of the normal length of human life, which would be observed in the absence of premature deaths, in childhood and adulthood. |
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