摘要
考虑独立同分布环境下依人口数控制两性分枝过程,其中后代概率分布受一个随机环境过程影响,配对函数依赖人口数,参与繁衍后代的配对单元数又受控制函数约束。讨论了当k→∞时,均值rk,θ趋于极限rθ>1(rk,θ是繁衍分布的均值),得出了模型的一些概率性质以及Wn依L1收敛的必要条件。
We consider controlled bisexual branching processes with population-size-dependent mating,where the independently identically distributed random environments affect the law of offspring distribution,the mating function depends on population size,and the controlled function constrains the matching units.We investigate the case when rk,θ,the means of the offspring,tends to a limit rθ1 as k→∞,and obtain some probability properties such as the necessary condition for convergence of Wn in L1.
出处
《太原理工大学学报》
CAS
北大核心
2010年第2期209-211,共3页
Journal of Taiyuan University of Technology
基金
山西省归国留学人员科研基金项目(02090059)
关键词
两性分枝过程
随机环境
控制过程
bisexual branching processes
random environments
controlled processes
