Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data
In this paper, we construct the SV1V2EIR model to reveal the impact of two-dose vaccination on COVID-19 by using Caputo fractional derivative. The feasibility region of the proposed model and equilibrium points is derived. The basic reproduction number of the model is derived by using the next-gener...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023010?viewType=HTML |
| _version_ | 1798031060987019264 |
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| author | Hardik Joshi Brajesh Kumar Jha Mehmet Yavuz |
| author_facet | Hardik Joshi Brajesh Kumar Jha Mehmet Yavuz |
| author_sort | Hardik Joshi |
| collection | DOAJ |
| description | In this paper, we construct the SV1V2EIR model to reveal the impact of two-dose vaccination on COVID-19 by using Caputo fractional derivative. The feasibility region of the proposed model and equilibrium points is derived. The basic reproduction number of the model is derived by using the next-generation matrix method. The local and global stability analysis is performed for both the disease-free and endemic equilibrium states. The present model is validated using real data reported for COVID-19 cumulative cases for the Republic of India from 1 January 2022 to 30 April 2022. Next, we conduct the sensitivity analysis to examine the effects of model parameters that affect the basic reproduction number. The Laplace Adomian decomposition method (LADM) is implemented to obtain an approximate solution. Finally, the graphical results are presented to examine the impact of the first dose of vaccine, the second dose of vaccine, disease transmission rate, and Caputo fractional derivatives to support our theoretical results. |
| first_indexed | 2024-04-11T19:50:11Z |
| format | Article |
| id | doaj.art-4a91f397629543fca6fdecc625adf921 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-11T19:50:11Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-4a91f397629543fca6fdecc625adf9212022-12-22T04:06:19ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-0120121324010.3934/mbe.2023010Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real dataHardik Joshi0 Brajesh Kumar Jha1Mehmet Yavuz2 1. Department of Mathematics, LJ Institute of Engineering and Technology, LJ University, Ahmedabad 382210, India2. Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar 382007, India3. Department of Mathematics and Computer Sciences, Necmettin Erbakan University, Konya 42090, Türkiye Academic editor: Ndolane SeneIn this paper, we construct the SV1V2EIR model to reveal the impact of two-dose vaccination on COVID-19 by using Caputo fractional derivative. The feasibility region of the proposed model and equilibrium points is derived. The basic reproduction number of the model is derived by using the next-generation matrix method. The local and global stability analysis is performed for both the disease-free and endemic equilibrium states. The present model is validated using real data reported for COVID-19 cumulative cases for the Republic of India from 1 January 2022 to 30 April 2022. Next, we conduct the sensitivity analysis to examine the effects of model parameters that affect the basic reproduction number. The Laplace Adomian decomposition method (LADM) is implemented to obtain an approximate solution. Finally, the graphical results are presented to examine the impact of the first dose of vaccine, the second dose of vaccine, disease transmission rate, and Caputo fractional derivatives to support our theoretical results.https://www.aimspress.com/article/doi/10.3934/mbe.2023010?viewType=HTMLcovid-19vaccinationfractional-order derivativesv1v2eir modelladm |
| spellingShingle | Hardik Joshi Brajesh Kumar Jha Mehmet Yavuz Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data Mathematical Biosciences and Engineering covid-19 vaccination fractional-order derivative sv1v2eir model ladm |
| title | Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data |
| title_full | Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data |
| title_fullStr | Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data |
| title_full_unstemmed | Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data |
| title_short | Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data |
| title_sort | modelling and analysis of fractional order vaccination model for control of covid 19 outbreak using real data |
| topic | covid-19 vaccination fractional-order derivative sv1v2eir model ladm |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023010?viewType=HTML |
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