A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks
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 con...
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| Format: | Article |
| Language: | English |
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Sciendo
2020-12-01
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| Series: | Cybernetics and Information Technologies |
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| Online Access: | https://doi.org/10.2478/cait-2020-0062 |
| _version_ | 1811272274792153088 |
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| author | Kyurkchiev Nikolay |
| author_facet | Kyurkchiev Nikolay |
| author_sort | Kyurkchiev Nikolay |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T22:37:26Z |
| format | Article |
| id | doaj.art-8e164bbfec034f6d9ddc1dced03fda1c |
| institution | Directory Open Access Journal |
| issn | 1314-4081 |
| language | English |
| last_indexed | 2024-04-12T22:37:26Z |
| publishDate | 2020-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Cybernetics and Information Technologies |
| spelling | doaj.art-8e164bbfec034f6d9ddc1dced03fda1c2022-12-22T03:13:49ZengSciendoCybernetics and Information Technologies1314-40812020-12-01206748110.2478/cait-2020-0062A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction NetworksKyurkchiev Nikolay0Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen Str., 4000Plovdiv, BulgariaIn [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.https://doi.org/10.2478/cait-2020-0062reaction networksgeneralized growth modelexponentially and polynomial variable transfers |
| spellingShingle | Kyurkchiev Nikolay A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks Cybernetics and Information Technologies reaction networks generalized growth model exponentially and polynomial variable transfers |
| title | A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks |
| title_full | A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks |
| title_fullStr | A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks |
| title_full_unstemmed | A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks |
| title_short | A New Class of “Growth Functions” with Polynomial Variable Transfer Generated by Real Reaction Networks |
| title_sort | new class of growth functions with polynomial variable transfer generated by real reaction networks |
| topic | reaction networks generalized growth model exponentially and polynomial variable transfers |
| url | https://doi.org/10.2478/cait-2020-0062 |
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