A DENSITY-DEPENDENT LESLIE MATRIX MODEL
A DENSITY-DEPENDENT LESLIE MATRIX MODEL
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DOI：
10.1016/0025-5564(89)90031-x
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发表时间：
1989-08-01
影响因子：
4.3
通讯作者：
ALLEN, LJS
中科院分区：
文献类型：
--
作者：
ALLEN, LJS
对Leslie于1948年提出的密度相关的Leslie矩阵模型进行了数学分析。结果表明，该行为类似于常数Leslie矩阵。在原始的情况下，密度依赖的Leslie矩阵具有对应于逻辑斯谛方程的渐近分布。然而，在非原始的情况下，无症状分布是周期性的，与周期依赖于immigrativity指数。
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 has an asymptotic distribution corresponding to the logistic equation. However, in the imprimitive case, the asymptomatic distribution is periodic, with period depending the imprimitivity index.