critical branching processes immigration emigration control extinction
Issue Date:
2015
Publisher:
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 24, No 1, (2015), 111p-130p
Abstract:
This survey aims at collecting and presenting results for one-type, discrete time branching processes with random control functions. In particular, the subclass of critical migration processes with different regimes of immigration and emigration is reviewed in detail. Critical controlled branching processes with continuous state space are also discussed. 2010 Mathematics Subject Classification: 60J80.