具有非均质泊松移民的两类可还原年龄相关分支过程

Comptes rendus de l'Academie Bulgare des sciences : sciences mathematiques et naturelles Pub Date : 2011-01-01

Ollivier Hyrien, Nikolay M Yanev

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摘要

作为更新细胞种群动力学模型，我们考虑了两种具有非均质泊松移民的可还原年龄依赖性分支随机过程。研究了有无移民过程的第一时刻的渐近行为。为种群动力学确定了几类渐近行为。我们的结果还有助于开发相关的统计推断方法。

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Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Poisson Immigration.

Two type reducible age-dependent branching stochastic processes with non-homogeneous Poisson immigration are considered as models of renewal cell population dynamics. The asymptotic behaviour of the first moments of the process with or without immigration is investigated. Several classes of asymptotic behavior are identified for the population dynamics. Our results are also useful for developing associated methods of statistical inference.

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Comptes rendus de l'Academie Bulgare des sciences : sciences mathematiques et naturelles

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