<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In [4, 5], two classes of growth models with “exponentially variable transfer” and “correcting amendments of Bateman-Gompertz-Makeham-type” based on a specific extended reaction network have been studied [1]. In this article we will look at the new scheme with “polynomial variable transfer”. The consideration of such a dynamic model in the present article is dictated by our passionate desire to offer an adequate model with which to well approximate specific data in the field of computer viruses propagation, characterized by rapid growth in the initial time interval. Some numerical examples, using CAS Mathematica illustrating our results are given.</p></abstract>

In [4, 5], two classes of growth models with “exponentially variable transfer” and “correcting amendments of Bateman-Gompertz-Makeham-type” based on a specific extended reaction network have been studied [1]. In this article we will look at the new scheme with “polynomial variable transfer”. The consideration of such a dynamic model in the present article is dictated by our passionate desire to offer an adequate model with which to well approximate specific data in the field of computer viruses propagation, characterized by rapid growth in the initial time interval. Some numerical examples, using CAS Mathematica illustrating our results are given.

A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In [4, 5], two classes of growth models with “exponentially variable transfer” and “correcting amendments of Bateman-Gompertz-Makeham-type” based on a specific...

A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks

Publié en ligne: 31 déc. 2020

Pages: 74 - 81

Reçu: 05 sept. 2020

Accepté: 30 oct. 2020

DOI: https://doi.org/10.2478/cait-2020-0062

Mots clés
Reaction networks, Generalized growth model, Exponentially and polynomial variable transfers

© 2020 Nikolay Kyurkchiev, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks

Publié en ligne: 31 déc. 2020

Pages: 74 - 81

Reçu: 05 sept. 2020

Accepté: 30 oct. 2020

DOI: https://doi.org/10.2478/cait-2020-0062

Mots clésReaction networks, Generalized growth model, Exponentially and polynomial variable transfers

© 2020 Nikolay Kyurkchiev, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Reaction networks, Generalized growth model, Exponentially and polynomial variable transfers