Markov branching processes with immigration-migration and resurrection

查看全文 作　　者：LI JunPing LIU [1]ZaiMing

机构地区：[1]School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, China

出　　处：《Science China Mathematics》索引2011年第54卷第5期,共20页

基　　金：supported by National Natural Science Foundations of China (Grant Nos. 10771216 and 11071259) 摘　　要：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 obtained. An explicit expression for the equilibrium distribution is also presented. As a preparation, the criteria for regularity and uniqueness for such structure are firstly established. 关键词：分支过程马尔可夫复活迁移移民灭绝概率结构规律遍历性

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Markov branching processes with immigration-migration and resurrection

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