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math.PR2020
Construction of age-structured branching processes by stochastic equations
Lina Ji, Zenghu Li
We give constructions of age-structured branching processes without or with immigration as pathwise unique solutions to stochastic integral equations. A necessary and sufficient co…
math.PR2020
Mutually interacting superprocesses with migration
Lina Ji, Huili Liu, Jie Xiong
A system of mutually interacting superprocesses with migration is constructed as the limit of a sequence of branching particle systems arising from population models. The uniquenes…