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Vaccination control measures of an epidemic model with long-term memristive effect
COVID-19 is a drastic air-way tract infection that set off a global pandemic recently. Most infected people with mild and moderate symptoms have recovered with naturally acquired immunity. In the interim, the defensive mechanism of vaccines helps to suppress the viral complications of the pathogenic...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier B.V.
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9388295/ https://www.ncbi.nlm.nih.gov/pubmed/36000087 http://dx.doi.org/10.1016/j.cam.2022.114738 |
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author | G.M., Vijayalakshmi P., Roselyn Besi |
author_facet | G.M., Vijayalakshmi P., Roselyn Besi |
author_sort | G.M., Vijayalakshmi |
collection | PubMed |
description | COVID-19 is a drastic air-way tract infection that set off a global pandemic recently. Most infected people with mild and moderate symptoms have recovered with naturally acquired immunity. In the interim, the defensive mechanism of vaccines helps to suppress the viral complications of the pathogenic spread. Besides effective vaccination, vaccine breakthrough infections occurred rapidly due to noxious exposure to contagions. This paper proposes a new epidemiological control model in terms of Atangana Baleanu Caputo (ABC) type fractional order differ integrals for the reported cases of COVID-19 outburst. The qualitative theoretical and numerical analysis of the aforesaid mathematical model in terms of three compartments namely susceptible, vaccinated, and infected population are exhibited through non-linear functional analysis. The hysteresis kernel involved in AB integral inherits the long-term memory of the dynamical trajectory of the epidemics. Hyer–Ulam’s stability of the system is studied by the dichotomy operator. The most effective approximate solution is derived by numerical interpolation to our proposed model. An extensive analysis of the vigorous vaccination and the proportion of vaccinated individuals are explored through graphical simulations. The efficacious enforcement of this vaccination control mechanism will mitigate the contagious spread and severity. |
format | Online Article Text |
id | pubmed-9388295 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Elsevier B.V. |
record_format | MEDLINE/PubMed |
spelling | pubmed-93882952022-08-19 Vaccination control measures of an epidemic model with long-term memristive effect G.M., Vijayalakshmi P., Roselyn Besi J Comput Appl Math Article COVID-19 is a drastic air-way tract infection that set off a global pandemic recently. Most infected people with mild and moderate symptoms have recovered with naturally acquired immunity. In the interim, the defensive mechanism of vaccines helps to suppress the viral complications of the pathogenic spread. Besides effective vaccination, vaccine breakthrough infections occurred rapidly due to noxious exposure to contagions. This paper proposes a new epidemiological control model in terms of Atangana Baleanu Caputo (ABC) type fractional order differ integrals for the reported cases of COVID-19 outburst. The qualitative theoretical and numerical analysis of the aforesaid mathematical model in terms of three compartments namely susceptible, vaccinated, and infected population are exhibited through non-linear functional analysis. The hysteresis kernel involved in AB integral inherits the long-term memory of the dynamical trajectory of the epidemics. Hyer–Ulam’s stability of the system is studied by the dichotomy operator. The most effective approximate solution is derived by numerical interpolation to our proposed model. An extensive analysis of the vigorous vaccination and the proportion of vaccinated individuals are explored through graphical simulations. The efficacious enforcement of this vaccination control mechanism will mitigate the contagious spread and severity. Elsevier B.V. 2023-02 2022-08-19 /pmc/articles/PMC9388295/ /pubmed/36000087 http://dx.doi.org/10.1016/j.cam.2022.114738 Text en © 2022 Elsevier B.V. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active. |
spellingShingle | Article G.M., Vijayalakshmi P., Roselyn Besi Vaccination control measures of an epidemic model with long-term memristive effect |
title | Vaccination control measures of an epidemic model with long-term memristive effect |
title_full | Vaccination control measures of an epidemic model with long-term memristive effect |
title_fullStr | Vaccination control measures of an epidemic model with long-term memristive effect |
title_full_unstemmed | Vaccination control measures of an epidemic model with long-term memristive effect |
title_short | Vaccination control measures of an epidemic model with long-term memristive effect |
title_sort | vaccination control measures of an epidemic model with long-term memristive effect |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9388295/ https://www.ncbi.nlm.nih.gov/pubmed/36000087 http://dx.doi.org/10.1016/j.cam.2022.114738 |
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