Geodesic
On the limit structure of continuous-time Markov branching process
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 1, pp. 117-127

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We study the limiting probability function of continuous-time Markov Branching Processes conditioned to be never extinct. Hereupon we obtain a new stochastic population process called the Markov Q-Process. The principal aim is to investigate structural and asymptotic properties of the Markov Q-Process, also we study transition functions of this process and their convergence to stationary measures.
Keywords: Markov Branching Process, Markov Q-process, transition function; invariant measures. 
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     author = {Azam A. Imomov},
     title = {On the limit structure of continuous-time {Markov} branching process},
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Azam A. Imomov. On the limit structure of continuous-time Markov branching process. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 1, pp. 117-127. http://geodesic.mathdoc.fr/item/JSFU_2017_10_1_a15/