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Markov branching processes with immigration-migration and resurrection |
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| Authors: | LI JunPing & LIU ZaiMing School of Mathematical Science Computing Technology Central South University Changsha China |
| Affiliation: | LI JunPing & LIU ZaiMing School of Mathematical Science and Computing Technology,Central South University,Changsha 410075,China |
| Abstract: | We consider a modified Markov branching process incorporating with both state-independent immigration-migration and resurrection. The effect of state-independent immigration-migration is firstly in- vestigated in detail. The explicit expressions for the extinction probabilities and mean extinction times are presented. The ergodicity and stability properties of the process incorporating with resurrection structure are then investigated. The conditions for recurrence, ergodicity and exponential ergodicity are... |
| Keywords: | Markov branching process immigration migration resurrection regularity extinction recur- rence ergodicity |
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