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Zbl 1010.60076
Chen, Anyue
Uniqueness and extinction properties of generalised Markov branching processes. (English)
[J] J. Math. Anal. Appl. 274, No.2, 482-494 (2002). ISSN 0022-247X

If in a continuous-time Galton-Watson process branching of a particle occurs with rate $r> 0$, and the system is in the state $i$, then the next branching event occurs with rate $ir$. {\it R.-R. Chen} [J. Appl. Probab. 34, No. 1, 14-23 (1997; Zbl 0874.60078)] discussed a generalization of this classical model by assuming that for a fixed number $\nu> 0$ the next branching event occurs with rate $i^\nu r$ instead, for all $i\ge 0$. In the present paper it is shown that this leads to a unique process. Extinction properties are also studied.
[Klaus Fleischmann (Berlin)]

MSC 2000:: *60J80 Branching processes

Citations: Zbl 0874.60078

Cited in: Zbl 1104.60047

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