摘要
考虑了一类人口数相依的两性分枝过程,即后代分布与配对函数依赖于人口数与环境过程,证明了平均增长率的极限存在,并且举例说明了即使当平均增长率极限小于1时,过程也未必灭绝.
A class of population-size-dependent bisexual branching processes is considered,whose the offspring distribution and mating function depended on the number of couples and an environment process.The limit m of the mean growth rate per mating unit m_k as the population size k grows to∞is provided to exist,and even if m1,the process does not die out with probability 1.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第4期56-60,共5页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
Supported by the Natural Science Foundation of Shandong Grant(G2008A12)
the Fundamental Research Fund(2011qn067)
关键词
两性分枝过程
环境过程
人口数相依分枝过程
灭绝概率
bisexual branching processes
environment process
population-size-dependent branching processes
extinction probability
