Modeling and stability analysis of ecosystem with water saturation constraints

The problem of modeling and stability analysis of ecosystem with water saturation constraints is studied in this paper. The signal and system-based analyzing methods are applied to model the ecosystem. By considering the water saturation constraints, a new ecosystem model is established. A sufficient condition for the global asymptotic stability condition of the systems is given by using the linear matrix inequality method. By introducing the parameter matrix into the Lyapunov function, the conservatism of the stability condition is reduced. This method solves well the problems which are usually hard to be solved with traditional method.