Title page of the original edition of 1798
Part of Thomas Malthus's table of population growth in England 1780–1810, from his An Essay on the Principle of Population, 6th edition, 1826

The model is named after Thomas Robert Malthus, who wrote An Essay on the Principle of Population (1798), one of the earliest and most influential books on population.

- Malthusian growth model

The exponential nature of population growth is today known as the Malthusian growth model.

- An Essay on the Principle of Population
Title page of the original edition of 1798

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Original image of a logistic curve, contrasted with a logarithmic curve

Logistic function

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Sometimes simply called the sigmoid. It is also sometimes called the expit, being the inverse of the logit.

Sometimes simply called the sigmoid. It is also sometimes called the expit, being the inverse of the logit.

Original image of a logistic curve, contrasted with a logarithmic curve
Pierre-François Verhulst (1804–1849)
Generalized logistic function (Richards growth curve) in epidemiological modeling
Extrapolated infection trajectories of 40 countries severely affected by COVID-19 and grand (population) average through May 14th

The Verhulst equation was published after Verhulst had read Thomas Malthus' An Essay on the Principle of Population, which describes the Malthusian growth model of simple (unconstrained) exponential growth.