Fractional dynamics and sensitivity analysis of measles epidemic model through vaccination

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Fractional dynamics and sensitivity analysis of measles epidemic model through vaccination

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Fractional dynamics and sensitivity analysis of measles epidemic model through vaccination

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

—

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Arab Journal of Basic and Applied Sciences

ISSN

2576-5299

e-ISSN

2576-5299

Svazek periodika

31

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

17

Strana od-do

265-281

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85192233170