群体生灭的马尔科夫过程

TNE MARKOVIAN PROCESS OF COLONY“BIRTH-AND-DEATH”

群体生灭过程是一种应用很广，的模型，在生物学、生物系统工程学和人口学等领域都有广泛的应用。群体生灭是复杂的随机过程，但它是具泊松性质的马尔科夫过程，因而可以用马尔科夫决策规划的理论和方法来研究。本文研究了线性生灭过程、非时齐的生灭过程，纯生、纯灭与迂入过程以及两性群体增长的马尔科夫过程。

A colony “birth-and death”process is a kind of widely used model,especially inthe field of biology,biological system engineering,population science, and so forth.A colony“birth-and-death”process is complicated stochastic process,a Markovian process with the nature of Poisson.And it cak be studied by the theory and method of Markovian decision programming.This paper in-trodtices the linear“birth-and-death”process,non-homogeneous“birth-and-death”process,pure- birth,pure-death.the moving-in process. Markovian process of the sexual colony growth.