Academic Journal
Theoretical and numerical analysis of COVID-19 pandemic model with non-local and non-singular kernels
| Title: | Theoretical and numerical analysis of COVID-19 pandemic model with non-local and non-singular kernels |
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| Authors: | Ting Cui, Peijiang Liu, Anwarud Din, Fawad Ali |
| Source: | Scientific Reports, Vol 12, Iss 1, Pp 1-21 (2022) |
| Publisher Information: | Nature Portfolio, 2022. |
| Publication Year: | 2022 |
| Collection: | LCC:Medicine LCC:Science |
| Subject Terms: | Medicine, Science |
| More Details: | Abstract The global consequences of Coronavirus (COVID-19) have been evident by several hundreds of demises of human beings; hence such plagues are significantly imperative to predict. For this purpose, the mathematical formulation has been proved to be one of the best tools for the assessment of present circumstances and future predictions. In this article, we propose a fractional epidemic model of coronavirus (COVID-19) with vaccination effects. An arbitrary order model of COVID-19 is analyzed through three different fractional operators namely, Caputo, Atangana-Baleanu-Caputo (ABC), and Caputo-Fabrizio (CF), respectively. The fractional dynamics are composed of the interaction among the human population and the external environmental factors of infected peoples. It gives an extra description of the situation of the epidemic. Both the classical and modern approaches have been tested for the proposed model. The qualitative analysis has been checked through the Banach fixed point theory in the sense of a fractional operator. The stability concept of Hyers-Ulam idea is derived. The Newton interpolation scheme is applied for numerical solutions and by assigning values to different parameters. The numerical works in this research verified the analytical results. Finally, some important conclusions are drawn that might provide further basis for in-depth studies of such epidemics. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 2045-2322 |
| Relation: | https://doaj.org/toc/2045-2322 |
| DOI: | 10.1038/s41598-022-21372-4 |
| Access URL: | https://doaj.org/article/e88b056f65cd4097ab71bb88973ec7d6 |
| Accession Number: | edsdoj.88b056f65cd4097ab71bb88973ec7d6 |
| Database: | Directory of Open Access Journals |
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| ISSN: | 20452322 |
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| DOI: | 10.1038/s41598-022-21372-4 |
| Published in: | Scientific Reports |
| Language: | English |