Title:	A Short History of Mathematical Population Dynamics
Authors:	Nicolas Bacaër
Keywords:	Dynamics
Issue Date:	2011
Publisher:	Springer
Description:	Population dynamics is the area of science which tries to explain in a simple mechanistic way the time variations of the size and composition of biological populations, such as those of humans, animals, plants or microorganisms. It is related to, but still quite distinct from, the more descriptive area of population statistics. One common point is that they make extensive use of mathematical language. Population dynamics is at the intersection of various fields: mathematics, social sciences (demography), biology (population genetics and ecology) and medicine (epidemiology). As a result it is not often presented as a whole, despite the similarities between the problems met in various applications. A notable exception in French is the book Mathematical Population Theories1 by Alain Hillion. But it presents the subject from the point of view of the mathematician, distinguishing various types of model: discrete-time models (t = 0,1,2...) and continuous-time models (t is a real number), deterministic models (future states are known exactly if the present state is known exactly) and stochastic models (where probabilities play a role). The book then considers logically discrete deterministic models, continuous deterministic models, discrete stochastic models and continuous stochastic models.
URI:	http://10.6.20.12:80/handle/123456789/55666
ISBN:	978-0-85729-115-8
Appears in Collections:	Population Studies

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