Global exponential stability for Lotka-Volterra population model with time varying delays
The global exponential stability for a competitive Lotka-Volterra population model with time varying delays is investigated. A novel exponential stability criterion for the system is derived using the Lyapunov method. These stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. An example is given to illustrate the usefulness of our proposed method.
Global exponential stability, Lotka-Volterra system, Linear Matrix Inequality, Time-varying delay