Controlled Branching Process Extinction Problem Limiting Behaviour
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 16, No 1, (2004), 43p-54p
In this paper we are concerned with the controlled branching processes
with random control function. Recently, we have considered them under the
condition of asymptotically linear growth of the mathematical expectations
associated to the random control variables. We present a review of the main
results obtained until now, mainly, in the supercritical case.