Институт физики атмосферы
им. А.М.Обухова РАН
Лаборатория Математической Экологии
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Nonnegative
matrices as a tool to model population dynamics: classical models and
contemporary expansions. Logofet D.O., Belova I.N. Аннотация Matrix
models of age- and/or stage-structured population dynamics 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. |