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A LOOK AT THE HYPOTHETICAL PIECEWISE SMOOTH GENERALIZED SIGMOIDAL GROWTH FUNCTION. SOME APPLICATIONS. II

Vesselin Kyurkchiev, Anton Iliev, Asen Rahnev, Nikolay Kyurkchiev

Abstract


Following the ideas given in [2] in this paper we define a hypotheticalpiecewise smooth generalized sigmoidal model Q(q1(t), q2(t)) using the generalized lo-gistic model. We will discuss precise bounds for the Hausdorff distance d between theHeaviside function h0 and the sigmoid Q. Studies in this paper can also be applied toa random shifted sigmoidal functions. We define also the piecewise cut function asso-ciated to the function Q(t). In the present work we discuss the usage of the frameworkof chemical reaction networks for the construction of new dynamical model. Some nu-merical examples with real data, using CAS MATHEMATICA illustrating our resultsare given.

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