随机环境中的广义生灭过程的常返性

Recurrence for the Generalized Birth Death Processes in a Random Environment

建立了连续时间的随机环境中的广义生灭过程（ＧＢＤＰＲＥ）模型，通过差分方程的计算，先得到固定环境的广义生灭过程（ＧＢＤＰ）的常返性，进而将环境随机化，得到随机环境中的广义生灭过程常返性的一个充分条件．

The continuous time model for the generalized birth death process in a random environment(GBDPRE) is established.The recurrence of generalized birth death process(GBDP) is obtained by means of difference equation.Further more, a sufficient condition of recurrence for GBDPRE is given.