Two specific single birth Q-matrices were examined,criteria for ergodicity and strong ergodicity were obtained,necessary and sufficient conditions for exponential ergodicity were presented.

• 研究了2类特定的单生Q矩阵,得到了其决定的单生过程遍历和强遍历的判别准则,同时就其指数遍历性,给出了必要条件和充分条件。