Abstract: This paper deals with the problem of existence and uniqueness of the stationary distributions (abbr., s. d.'s) for the processes constructed in[4].The main results are stated in § 1. For the reader's convenience we first restate the existence theorems (Theorem 1 and 2) of the processes given in[4]. Then two existence theorems (Theorem 3 and 4) and a uniqueness theorem (Theorem 5) for the s. d.'s of the processes are presented. The last result (Theorem 6), as an application of the previous ones, is about the Schlögl model which comes from nonequilibrium statisticali physics. The details of the proofs of Theorem 3-6 are given in § 2-4.