Population Size Dependent Generalized Multitype Branching Processes |
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| Authors: | M González M Mota |
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| Institution: | Department of Mathematics , University of Extremadura , Badajoz, Spain |
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| Abstract: | Abstract In this paper, we introduce the population size dependent generalized multitype branching process. This is a Markovian model that allows us to study homogeneous multitype branching processes in a unified way. The basic properties for this model, transitions between its states, as well as the existence of a stationary limiting distribution, are investigated. Finally, we apply the obtained results to a new controlled multitype branching process. |
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| Keywords: | Homogeneous multitype Markov chains Multitype branching processes |
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