Abstract
We consider the model of alternating branching processes, where two Markov branching processes act alternately by the random time periods of observation and treatment. Stationary distributions can be obtained by feed-back control if the observation time δ is defined by the additive functional of total progeny of the supercritical Markov branching process ξ(t), or by the explicit immigration of particles. We investigate the reproduction by n cycles and limit theorems to obtain the stationary distributions.
Keywords
Mathematics Subject Classification (2000): 60J80, 60K05
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Mayster, P. (2010). Stationary distributions of the alternating branching processes. In: González Velasco, M., Puerto, I., Martínez, R., Molina, M., Mota, M., Ramos, A. (eds) Workshop on Branching Processes and Their Applications. Lecture Notes in Statistics(), vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11156-3_4
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DOI: https://doi.org/10.1007/978-3-642-11156-3_4
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