Global exponential stability for Lotka-Volterra population model with time varying delays
Author(s): C. Jayakumar, S.Kalaiselvi
Publication #: IJIRCT1601025
Date of Publication: 06.12.2016
Country: India
Pages: 150-155
Published In: Volume 2 Issue 3 December-2016
Abstract
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.
Keywords: Global exponential stability, Lotka-Volterra system, Linear Matrix Inequality, Time-varying delay
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