Although neural networks (NNs) have been successfully applied many times, there are still some drawbacks in any control scheme. In this study an NN-based model is applied for an n-degree ecosystem. The Takagi-Sugeno fuzzy model representation and fuzzy Lyapunov method are extended to analyze the ecosystem stability. During the stability analysis, the linear matrix inequality conditions are derived using the fuzzy Lyapunov theory to guarantee the stability and stabilization of the n-degree ecosystems. The suitability of the proposed stability conditions are demonstrated with a numerical simulation.