Asymptotic behaviour of Markov population processes by asymptotically linear rate of change-Reference-Cited by-同舟云学术

Asymptotic behaviour of Markov population processes by asymptotically linear rate of change

Published:1994-09 Issue:3 Volume:31 Page:614-625
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Klebaner F. C.

Abstract

Multidimensional Markov processes in continuous time with asymptotically linear mean change per unit of time are studied as randomly perturbed linear differential equations. Conditions for exponential and polynomial growth rates with stable type distribution are given. From these conditions results on branching models of populations with stabilizing reproduction for near-supercritical and near-critical cases follow.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference24 articles.

1. Cooperative birth processes with linear or sublinear intensity;Kuster;Stoch. Proc. Appl.,1984

2. Limit Theorems for Stochastic Processes

3. Weak convergence of sequences of semimartingales with applications to multitype branching processes

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