Mutually interacting superprocesses with migration

Lina Ji; Huili Liu; Jie Xiong

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arXiv · 2012.12146

Mutually interacting superprocesses with migration

Lina Ji·Huili Liu·Jie Xiong

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Abstract

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 uniqueness in law of the superprocesses is established using the pathwise uniqueness of a system of stochastic partial differential equations with non-Lipschitz coefficients, which is satisfied by the corresponding system of distribution-function-valued processes.

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Lina Ji, Huili Liu, Jie Xiong. 2020-12-22. Mutually interacting superprocesses with migration. https://arxiv.org/abs/2012.12146

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