This article is cited in 48 papers

Nonnegative matrices as a tool to model population dynamics: Classical models and contemporary expansions

D. O. Logofet^a, I. N. Belova<sup>b

a</sup> M. V. Lomonosov Moscow State University
^b A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences

Abstract: Matrix models of age- or/and stage-structured populations rest upon the Perron–Frobenius theorem for nonnegative matrices, and the life cycle graph for individuals of a given biological species plays a major role in model construction and analysis. A summary of classical results in the theory of matrix models for population dynamics is presented, and generalizations are proposed, which have been motivated by a need to account for an additional structure, i.e., to classify individuals not only by age, but also by an additional (discrete) characteristic: size, physiological status, stage of development, etc.

UDC: 512.643.8+581.524.31

 English version: Journal of Mathematical Sciences (New York), 2008, 155:6, 894–907

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