age-dependent branching process extinction time epidemiological modeling vaccination level
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 22, No 1, (2013), 169p-194p
The contemporary state of the theory of branching processes implies their application to any abstract population where individuals produce a set of new individuals. In this survey paper some recent developments in the study of time to extinction of continuous-time branching processes (BP) motivated by their applications in epidemiological modeling will be presented. The developed methodology and results are concerning Bellman−Harris (age-dependent) BP and more general Sevast'yanov's BP, as well.