Academic Journal
A Study on the Fractal-Fractional Epidemic Probability-Based Model of SARS-CoV-2 Virus along with the Taylor Operational Matrix Method for Its Caputo Version
| Title: | A Study on the Fractal-Fractional Epidemic Probability-Based Model of SARS-CoV-2 Virus along with the Taylor Operational Matrix Method for Its Caputo Version |
|---|---|
| Authors: | Shahram Rezapour, Sina Etemad, İbrahim Avcı, Hijaz Ahmad, Azhar Hussain |
| Source: | Journal of Function Spaces, Vol 2022 (2022) |
| Publisher Information: | Wiley, 2022. |
| Publication Year: | 2022 |
| Subject Terms: | Composite material, Matrix (chemical analysis), Population, Applications of Generalized Functions in Mathematics and Physics, Mathematical analysis, 01 natural sciences, Epidemic model, Machine learning, 0103 physical sciences, QA1-939, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Modeling the Dynamics of COVID-19 Pandemic, Physics, Fractional calculus, Optics, Focus (optics), Applied mathematics, Computer science, Materials science, 3. Good health, Fractional Derivatives, Environmental health, Modeling and Simulation, Physical Sciences, Medicine, Statistical physics, Fractal, Fractal dimension, Mathematics |
| Description: | SARS-CoV-2 is a strain of the large coronavirus family that has led to COVID-19 disease. The virus has been one of the deadliest known viruses in the world to date. Rapid mutations and the creation of new strains cause researchers to focus on the dynamic behaviors of the virus and to analyze it accurately through clinical research and mathematical models. In this paper, from the point of view of mathematical modeling, we intend to focus on the dynamic behavior of the system and examine its analytical and numerical aspects in two different structures. In other words, by recalling newly formulated hybrid fractional-fractal operators, we present a fractal-fractional probability-based model of SARS-CoV-2 virus for the first time and extract its equivalent compact fractal-fractional IVP to investigate its existence and stability criteria. A type of special admissible contractions will help us in this regard. Moreover, based on the source data, we simulate our system according to algorithms derived by Adams-Bashforth method and explain the effects of variation of the dimension of fractal and fractional order on dynamics of solutions. Finally, we transform our fractal-fractional model into a Caputo probability-based model of SARS-CoV-2 to derive solutions via the operational matrix method under Taylor’s basis. The numerical simulations show close behaviors for both of models. |
| Document Type: | Article Other literature type |
| File Description: | text/xhtml |
| Language: | English |
| ISSN: | 2314-8888 2314-8896 |
| DOI: | 10.1155/2022/2388557 |
| DOI: | 10.60692/fmxyd-b8473 |
| DOI: | 10.60692/w6zxg-nd768 |
| Access URL: | https://doaj.org/article/d4caf5e0ef3a43d8a25e295a8f0834f0 |
| Rights: | CC BY |
| Accession Number: | edsair.doi.dedup.....bb48c93981c318979dd0affa7f5ac99a |
| Database: | OpenAIRE |
| ISSN: | 23148888 23148896 |
|---|---|
| DOI: | 10.1155/2022/2388557 |