A density-dependent Leslie matrix model

Linda J.S. Allen

doi:10.1016/0025-5564(89)90031-X

A density-dependent Leslie matrix model

Linda J.S. Allen

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

A density-dependent Leslie matrix model introduced in 1948 by Leslie is mathematically analyzed. It is shown that the behavior is similar to that of the constant Leslie matrix. In the primitive case, the density-dependent Leslie matrix model has an asymptotic distribution corresponding to the logistic equation. However, in the imprimitive case, the asymptotic distribution is periodic, with period depending on the imprimitivity index.

Original language	English
Pages (from-to)	179-187
Number of pages	9
Journal	Mathematical Biosciences
Volume	95
Issue number	2
DOIs	https://doi.org/10.1016/0025-5564(89)90031-X
State	Published - Aug 1989

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title = "A density-dependent Leslie matrix model",

abstract = "A density-dependent Leslie matrix model introduced in 1948 by Leslie is mathematically analyzed. It is shown that the behavior is similar to that of the constant Leslie matrix. In the primitive case, the density-dependent Leslie matrix model has an asymptotic distribution corresponding to the logistic equation. However, in the imprimitive case, the asymptotic distribution is periodic, with period depending on the imprimitivity index.",

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AB - A density-dependent Leslie matrix model introduced in 1948 by Leslie is mathematically analyzed. It is shown that the behavior is similar to that of the constant Leslie matrix. In the primitive case, the density-dependent Leslie matrix model has an asymptotic distribution corresponding to the logistic equation. However, in the imprimitive case, the asymptotic distribution is periodic, with period depending on the imprimitivity index.

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U2 - 10.1016/0025-5564(89)90031-X

DO - 10.1016/0025-5564(89)90031-X

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SN - 0025-5564

VL - 95

SP - 179

EP - 187

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 2

ER -

A density-dependent Leslie matrix model

Abstract

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