Convergence of the age structure of general schemes of population processes
Journal article, 2019

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 [8] the Law of Large Numbers as K Ñ 8 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.

central limit theo- rem.

Age-structure dependent population processes

carrying capacity

Author

Peter Jagers

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

K. Hamza

Fima C. Klebaner

Bernoulli

1350-7265 (ISSN)

Roots

Basic sciences

Subject Categories

Probability Theory and Statistics

More information

Created

6/11/2019