Generalized Markov interacting branching processes |
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| Authors: | Junping Li Anyue Chen |
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| Institution: | 1.School of Mathematics and Statistics,Central South University,Changsha,China;2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China;3.Department of Mathematical Sciences,The University of Liverpool,Liverpool,UK |
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| Abstract: | We consider a very general interacting branching process which includes most of the important interacting branching models considered so far. After obtaining some key preliminary results, we first obtain some elegant conditions regarding regularity and uniqueness. Then the extinction vector is obtained which is very easy to be calculated. The mean extinction time and the conditional mean extinction time are revealed. The mean explosion time and the total mean life time of the processes are also investigated and resolved. |
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