The population growth, is increase in the number of individuals in population and it depends on some random environment eﬀects. There are several diﬀerent mathematical models for population growth. These models are suitable tool to predict future population growth. One of these models is logistic model. In this paper, by using Feynman-Kac formula, the Adomian decomposition method is applied to compute the moments for the solution of logistic stochastic diﬀerential equation.