On the Limit Structure of Continuous-time Markov Branching Process

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.

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