Abstract
In 1945 the British ecologist P.H. Leslie analyzed a matrix model for an age-structured population of rodents, thus adapting Lotka’s work to a discrete-time framework. He emphasized that the growth rate corresponds to an eigenvalue and the “stable” age structure to an eigenvector. He also estimated numerically the “net reproduction rate” R 0 for the brown rat.
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Further reading
Anonymous: Dr P. H. Leslie. Nature 239, 477–478 (1972)
Crowcroft, P.: Elton’s Ecologists, A History of the Bureau of Animal Population. University of Chicago Press (1991). books.google.com
Leslie, P.H.: On the use of matrices in certain population mathematics. Biometrika 33, 213–245 (1945)
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© 2011 Springer-Verlag London Limited
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Bacaër, N. (2011). The Leslie matrix (1945). In: A Short History of Mathematical Population Dynamics. Springer, London. https://doi.org/10.1007/978-0-85729-115-8_21
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DOI: https://doi.org/10.1007/978-0-85729-115-8_21
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