一类个体寿命有限的纯生过程

A Type of Pure Birth Process for Individuals with Finite Life

讨论了一类个体的寿命有限且一生分为若干个阶段的纯生过程 （ｐｕｒｅ ｂｉｒｔｈ ｐｒｏ－ｃｅｓｓ），其中每个阶段的存活率，繁殖率，其繁殖符合 Ｐｏｉｓｓｏｎ过程．证明了其小群体的繁衍分布服从分布；ｉ和ｊ两个不同阶段繁殖的时间间隔之比的密度函数为Ｆｉｂｏｎａｃｃｉ过程［４］中总体的期望数和寿命与指数分布有关等性质．

A type of pure birth process is discussed, in which individuals have finite life and the life of the individual is divided into L stages, in each stage the survival rate , birth rate and the process of birth obeys the Poisson Process. The paper shows that the distributions of birth rate among small groups are given by the distribution; the distribution density for pro portion of the time intervals between the ith and the jth stages is given by in the Fibonacci Process[4] the expectation of quantity and life for species are related to the exponential distribution.