Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706751 | Applied Mathematical Modelling | 2009 | 5 Pages |
Abstract
This paper further develops a method, originally introduced by Mori et al., for proving local stability of steady states in linear systems of delay differential equations. A nonlinear nonautonomous system of delay differential equations with several delays is considered. Explicit delay-independent sufficient conditions for global attractivity of the solutions with an extremely simple form are provided. The above-mentioned conditions make the stability test quite practical. We illustrate application of this test to the Hopfield neural network models. The results obtained were also applied to a new marine protected areas model with delay that describes the ecological linkage between the reserve and fishing ground.
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Authors
L. Idels, M. Kipnis,