<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

Published Online: Dec 31, 2020

Page range: 74 - 81

Received: Sep 05, 2020

Accepted: Oct 30, 2020

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

Keywords
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

Published Online: Dec 31, 2020

Page range: 74 - 81

Received: Sep 05, 2020

Accepted: Oct 30, 2020

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

KeywordsReaction 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.

Keywords
Reaction networks, Generalized growth model, Exponentially and polynomial variable transfers