Fractional dynamics and sensitivity analysis of measles epidemic model through vaccination

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10254904" target="_blank" >RIV/61989100:27740/24:10254904 - isvavai.cz</a>

Result on the web

<a href="https://www.tandfonline.com/doi/full/10.1080/25765299.2024.2345424" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/25765299.2024.2345424</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/25765299.2024.2345424" target="_blank" >10.1080/25765299.2024.2345424</a>

Result language

angličtina

Original language name

Fractional dynamics and sensitivity analysis of measles epidemic model through vaccination

Original language description

Measles is a highly contagious disease that mainly affects children worldwide. Even though a reliable and effective vaccination is available, there were 140,000 measles deaths worldwide in 2018, and most of them were children under the age five years. In this paper, we comprehensively investigate a novel fractional SVEIR (Susceptible-Vaccinated-Exposed-Infected-Recovered) model of the measles epidemic powered by nonlinear fractional differential equations to understand the epidemic&apos;s dynamical behaviour. We use a non-singular Atangana-Baleanu fractional derivative to analyze the proposed model, taking advantage of non-locality. The existence, uniqueness, positivity and boundedness of the solutions are shown via concepts of fixed point theory, and we also perform the Ulam-Hyers stability of the considered model. The parameter sensitivity is discussed in the context of the variance with each parameter using 3-D graphics based on the basic reproduction number. Moreover, with the Atangana-Toufik numerical scheme, numerical findings are depicted for different fractional-order values. The presented approach produce results that are efficiently consistent and in excellent agreement with the theoretical results. (C) 2024 The Author(s). Published by Informa UK Limited, trading as Taylor &amp; Francis Group on behalf of the University of Bahrain.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10300 - Physical sciences

Project

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Continuities

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Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Arab Journal of Basic and Applied Sciences

ISSN

2576-5299

e-ISSN

2576-5299

Volume of the periodical

31

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

17

Pages from-to

265-281

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85192233170