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Geometric methods of global attraction in systems of delay differential equations

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Abstract In this paper we deduce criteria of global attraction in systems of delay differential equations. Our methodology is new and consists in “dominating” the nonlinear terms of the system… Click to show full abstract

Abstract In this paper we deduce criteria of global attraction in systems of delay differential equations. Our methodology is new and consists in “dominating” the nonlinear terms of the system by a scalar function and then studying some dynamical properties of that function. One of the crucial benefits of our approach is that we obtain delay-dependent results of global attraction that cover the best delay-independent conditions. We apply our results in a gene regulatory model and the classical Nicholson's blowfly equation with patch structure.

Keywords: differential equations; global attraction; attraction systems; systems delay; delay differential

Journal Title: Journal of Differential Equations
Year Published: 2017

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