人口过程一般格式年龄结构的收敛性
Convergence of the age structure of general schemes of population processes
摘要：
我们考虑一个家庭的一般分支过程的繁殖参数取决于年龄的个人以及人口的年龄结构和一个参数$K$，这可能代表的承载能力。这些过程在年龄结构上是马尔可夫的。在以前的文件中的大数定律作为$K\to\infty$推导。本文证明了中心极限定理，即在适当的Skorokhod空间中涨落过程的弱收敛性。我们还表明，极限是由一个随机偏微分方程。
英文摘要：
We consider a family of general branching processes with reproduction parameters depending on the age of the individual as well as the population age structure and a parameter $K$, which may represent the carrying capacity. These processes are Markovian in the age structure. In a previous paper the Law of Large Numbers as $K\to\infty$ was derived. Here we prove the Central Limit Theorem, namely the weak convergence of the fluctuation processes in an appropriate Skorokhod space. We also show that the limit is driven by a stochastic partial differential equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
