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On scalar growth systems governed by delayed nonlinear negative feedback

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Abstract

We consider the class of delay differential equations as a model for scalar growth processes with instantaneous growth rate -µ>0 which are governed by delayed nonlinear feedback f which issupposed to be a smooth function of 'arctan'-type. These kind of processes arise in economics, ecology, engineering, chemistry, neuroscience, and many other interesting fields of science and technology.

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