The formulation of nonlocal branching superprocesses was discussed. The special cases such as the rebirth, the multitype, the mass-structured, the multilevel and the age-reproduction structured superprocesses and the superprocess-controlled immigration process were also discussed. This unified treatment simplifies the proof of the existence of the old classes of superprocesses.

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Keywords Age-reproduction-structur ed, Mass-structured, Multilevel, Multitype, Nonlocal branching, Rebirth, Superprocess, Superprocess-controlled immigration
Persistent URL
Journal Acta Applicandae Mathematicae
Dawson, D.A, Gorostiza, L.G. (Luis G.), & Li, Z. (Zenghu). (2002). Nonlocal branching superprocesses and some related models. Acta Applicandae Mathematicae, 74(1), 93–112. doi:10.1023/A:1020507922973