一类带移民两性分支过程的非零极限行为

Non-zero limit behaviour for certain bisexual Galton-Watson branching processes with immigration

讨论一类带移民两性分支过程的非零极限性质.首先简单介绍这种两性分支过程模型,得出该过程是不可约和遍历的,最后利用马氏链、鞅论、两性分支过程的相关结论考查了该过程的非零极限行为.

We discuss non - zero limit behaviour for a bisexual Gahon - Watson branching processes with immigration （BGWBI）. First we introduce simply this bisexual Galton -Watson branching proces- ses, then obtain that the BGWBI is irreducible and aperiodic, finally by using relevant conclusions of Markovchain, martingale theory and branching process, non - zero limit behabiour for the BGWBI is investigated.