人口数相依的两性分支过程的极限性质

摘要

In this paper, a bisexual Galton-Watson branching process with the law of offspring distribution dependent on the population size is investigated. Under a suitable assumption on the offspring distribution, for the supercritical case, the limit behaviours on almost sure convergence of the process are established.%本文研究了后代分布依赖于人口数的两性Galton-Watson分支过程,在对后代分布的适当假设下,对于上临界的情况,我们研究了有关过程的几乎处处收敛的极限性质.