One of the most widely adopted strategies for vibration control in both civil and mechanical engineering is based on the use of fuzzy control. Although fuzzy control methods have been successfully applied, there are still some drawbacks to using them in any control scheme. In this work, we address the stability problem of a fuzzy-based neural network (NN) model which is employed to approximate an ecosystem. The dynamics of the NN algorithm are converted into a linear differential inclusion representation for stability analysis. Finally, a stability criterion is derived using the fuzzy Lyapunov method to ensure the stability of the n-degree ecosystem.