Before revision:  In this paper, we propose an algorithm based on algebraic methods to detect steady-states of stochastic reaction networks . The proposed method can be used to calculate necessary and sufficient parameters such that the stochastic reaction network has a prescribed number of steady-states .
After revision:  In this paper, we propose an algorithm based on algebraic methods to detect steady-states of stochastic reaction networks , in which the means and variances satisfy some given inequality constraints .