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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 4, Pages 145–164
(Mi fpm1068)
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This article is cited in 45 scientific papers (total in 45 papers)
Nonnegative matrices as a tool to model population dynamics: Classical models and contemporary expansions
D. O. Logofeta, I. N. Belovab a 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.
Citation:
D. O. Logofet, I. N. Belova, “Nonnegative matrices as a tool to model population dynamics: Classical models and contemporary expansions”, Fundam. Prikl. Mat., 13:4 (2007), 145–164; J. Math. Sci., 155:6 (2008), 894–907
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https://www.mathnet.ru/eng/fpm1068 https://www.mathnet.ru/eng/fpm/v13/i4/p145
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Abstract page: | 1104 | Full-text PDF : | 461 | References: | 103 |
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