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Construction of age-structured branching processes by stochastic equations

Published online by Cambridge University Press:  31 May 2022

Lina Ji*
Affiliation:
Shenzhen MSU-BIT University
Zenghu Li*
Affiliation:
Beijing Normal University
*
*Postal address: Faculty of Computational Mathematics and Cybernetics, Shenzhen MSU-BIT University, Shenzhen 518172, People’s Republic of China. Email: [email protected]
**Postal address: Laboratory of Mathematics and Complex Systems, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People’s Republic of China. Email: [email protected]

Abstract

We provide constructions of age-structured branching processes without or with immigration as pathwise-unique solutions to stochastic integral equations. A necessary and sufficient condition for the ergodicity of the model with immigration is also given.

Type
Original Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Applied Probability Trust

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