Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3513

 Title: Subcritical Markov Branching Processes with Non-Homogeneous Poisson Immigration Authors: Hyrien, OllivierMitov, Kosto V.Yanev, Nikolay M. Keywords: Branching processesImmigrationPoisson processLimit theorems 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), 35p-54p Abstract: The paper proposes an extension of Sevastyanov (1957) model based on a Markov branching process allowing an immigration component in the moments of a homogeneous Poisson process. Now Markov branching processes are also considered but assuming a time-nonhomogeneous Poisson immigration. These processes could be interpreted as models in cell proliferation kinetics with stem cell immigration. Limit theorems are proved in the subcritical case and new effects are obtained due to the non-homogeneity. 2000 Mathematics Subject Classification: 60J80. Description: [Mitov Kosto V.; Митов Косто В.]; [Yanev Nikolay M.; Janev N. M.; Janev Nikolaj; Янев Николай М.] URI: http://hdl.handle.net/10525/3513 ISSN: 0204-9805 Appears in Collections: 2015 Volume 24

Files in This Item:

File Description SizeFormat
Pliska-24-2015-035-054.pdfBranching Processes and Applications432.64 kBAdobe PDFView/Open