A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis
The pandemic caused by coronaviruses (SARS-COV-2) is a zoonotic disease targeting the respiratory tract of active humans. Few mild symptoms of fever and tiredness get cured without any medicinal aid, whereas some severe symptoms of dry cough with breathing illness led to perceived risk of secondary...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-09-01
|
| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720722000261 |
| _version_ | 1811265809717133312 |
|---|---|
| author | G.M. Vijayalakshmi Roselyn Besi. P |
| author_facet | G.M. Vijayalakshmi Roselyn Besi. P |
| author_sort | G.M. Vijayalakshmi |
| collection | DOAJ |
| description | The pandemic caused by coronaviruses (SARS-COV-2) is a zoonotic disease targeting the respiratory tract of active humans. Few mild symptoms of fever and tiredness get cured without any medicinal aid, whereas some severe symptoms of dry cough with breathing illness led to perceived risk of secondary transmission. This paper studies the effectiveness of vaccination in Covid-19 pandemic disease by modelling three compartments susceptible, vaccinated and infected (SVI) of Atangana Baleanu of Caputo (ABC) type derivatives in non-integer order. The disease dynamics is analysed and its stability is performed. Numerical approximation is derived using Adam’s Moulton method and simulated to forecast the results for controllability of pandemic spread. |
| first_indexed | 2024-04-12T20:29:10Z |
| format | Article |
| id | doaj.art-63352fca41f84c6bba63d46e87b284bd |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-04-12T20:29:10Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-63352fca41f84c6bba63d46e87b284bd2022-12-22T03:17:46ZengElsevierResults in Control and Optimization2666-72072022-09-018100144A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysisG.M. Vijayalakshmi0Roselyn Besi. P1Vel Tech University, Chennai, IndiaCorresponding author.; Vel Tech University, Chennai, IndiaThe pandemic caused by coronaviruses (SARS-COV-2) is a zoonotic disease targeting the respiratory tract of active humans. Few mild symptoms of fever and tiredness get cured without any medicinal aid, whereas some severe symptoms of dry cough with breathing illness led to perceived risk of secondary transmission. This paper studies the effectiveness of vaccination in Covid-19 pandemic disease by modelling three compartments susceptible, vaccinated and infected (SVI) of Atangana Baleanu of Caputo (ABC) type derivatives in non-integer order. The disease dynamics is analysed and its stability is performed. Numerical approximation is derived using Adam’s Moulton method and simulated to forecast the results for controllability of pandemic spread.http://www.sciencedirect.com/science/article/pii/S2666720722000261Fractal–fractional SVI modelMittag leffler memoryVaccinationBreakthrough infectionsAdams moulton rule |
| spellingShingle | G.M. Vijayalakshmi Roselyn Besi. P A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis Results in Control and Optimization Fractal–fractional SVI model Mittag leffler memory Vaccination Breakthrough infections Adams moulton rule |
| title | A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis |
| title_full | A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis |
| title_fullStr | A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis |
| title_full_unstemmed | A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis |
| title_short | A fractal fractional order vaccination model of COVID-19 pandemic using Adam’s moulton analysis |
| title_sort | fractal fractional order vaccination model of covid 19 pandemic using adam s moulton analysis |
| topic | Fractal–fractional SVI model Mittag leffler memory Vaccination Breakthrough infections Adams moulton rule |
| url | http://www.sciencedirect.com/science/article/pii/S2666720722000261 |
| work_keys_str_mv | AT gmvijayalakshmi afractalfractionalordervaccinationmodelofcovid19pandemicusingadamsmoultonanalysis AT roselynbesip afractalfractionalordervaccinationmodelofcovid19pandemicusingadamsmoultonanalysis AT gmvijayalakshmi fractalfractionalordervaccinationmodelofcovid19pandemicusingadamsmoultonanalysis AT roselynbesip fractalfractionalordervaccinationmodelofcovid19pandemicusingadamsmoultonanalysis |