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Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics

In this study, the transmission dynamics of hand, foot, and mouth disease (HFMD), incorporating vaccination, were comprehensively assessed. A Susceptible-Vaccinated-Exposed-Infectious-Recovered (SVEIR) model was formulated and its stability was evaluated in relation to disease-free and endemic equil...

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Main Authors:	Mohandoss A., Chandrasekar G., Jan R.
Other Authors:	58131806100
Format:	Article
Published:	International Information and Engineering Technology Association 2024
Subjects:	and mouth disease vaccination dynamical behaviour foot hand Numerical results sensitivity analysis stability analysis threshold parameter
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spelling	my.uniten.dspace-338772024-10-14T11:17:22Z Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics Mohandoss A. Chandrasekar G. Jan R. 58131806100 58957197800 57205596279 and mouth disease vaccination dynamical behaviour foot hand Numerical results sensitivity analysis stability analysis threshold parameter In this study, the transmission dynamics of hand, foot, and mouth disease (HFMD), incorporating vaccination, were comprehensively assessed. A Susceptible-Vaccinated-Exposed-Infectious-Recovered (SVEIR) model was formulated and its stability was evaluated in relation to disease-free and endemic equilibrium points. The fundamental reproduction number, R0, was derived utilizing the Next-Generation Matrix method. This work demonstrates the local and global asymptotic stability of both disease-free and endemic equilibria under defined conditions. The local stability of the disease-free equilibrium set was ascertained via the Jacobian matrix method, contingent upon certain prerequisites. Conversely, the stability of the endemic equilibrium set was affirmed using the Routh-Hurwitz criteria. In the context of global stability, a Lyapunov function was employed to establish the disease-free equilibrium case, demonstrating that the equilibrium E0 is globally asymptotically stable within region ?. Stability of the endemic equilibrium set for the susceptible and infected compartments was exhibited using Dulac�s criteria. Additionally, a sensitivity analysis was performed, revealing a significant correlation of the basic reproduction number to specific parameters, namely A, ?1, ?2, ?3, ?4, and ?. This analysis indicates that these aforementioned parameters have a substantial influence on HFMD propagation. The analytical findings were corroborated through numerical simulations which further reinforced the validity of the model. This work presents a profound exploration of HFMD transmission dynamics, offering valuable insights for the development of efficacious control strategies. � (2023) IIETA. This article is published by IIETA and is licensed under the CC BY 4.0 license. Final 2024-10-14T03:17:22Z 2024-10-14T03:17:22Z 2023 Article 10.18280/mmep.100603 2-s2.0-85183556654 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183556654&doi=10.18280%2fmmep.100603&partnerID=40&md5=3af680552ad2d14419f8c70f4a65b1cd https://irepository.uniten.edu.my/handle/123456789/33877 10 6 1937 1949 All Open Access Hybrid Gold Open Access International Information and Engineering Technology Association Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
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continent	Asia
country	Malaysia
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content_source	UNITEN Institutional Repository
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topic	and mouth disease vaccination dynamical behaviour foot hand Numerical results sensitivity analysis stability analysis threshold parameter
spellingShingle	and mouth disease vaccination dynamical behaviour foot hand Numerical results sensitivity analysis stability analysis threshold parameter Mohandoss A. Chandrasekar G. Jan R. Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics
description	In this study, the transmission dynamics of hand, foot, and mouth disease (HFMD), incorporating vaccination, were comprehensively assessed. A Susceptible-Vaccinated-Exposed-Infectious-Recovered (SVEIR) model was formulated and its stability was evaluated in relation to disease-free and endemic equilibrium points. The fundamental reproduction number, R0, was derived utilizing the Next-Generation Matrix method. This work demonstrates the local and global asymptotic stability of both disease-free and endemic equilibria under defined conditions. The local stability of the disease-free equilibrium set was ascertained via the Jacobian matrix method, contingent upon certain prerequisites. Conversely, the stability of the endemic equilibrium set was affirmed using the Routh-Hurwitz criteria. In the context of global stability, a Lyapunov function was employed to establish the disease-free equilibrium case, demonstrating that the equilibrium E0 is globally asymptotically stable within region ?. Stability of the endemic equilibrium set for the susceptible and infected compartments was exhibited using Dulac�s criteria. Additionally, a sensitivity analysis was performed, revealing a significant correlation of the basic reproduction number to specific parameters, namely A, ?1, ?2, ?3, ?4, and ?. This analysis indicates that these aforementioned parameters have a substantial influence on HFMD propagation. The analytical findings were corroborated through numerical simulations which further reinforced the validity of the model. This work presents a profound exploration of HFMD transmission dynamics, offering valuable insights for the development of efficacious control strategies. � (2023) IIETA. This article is published by IIETA and is licensed under the CC BY 4.0 license.
author2	58131806100
author_facet	58131806100 Mohandoss A. Chandrasekar G. Jan R.
format	Article
author	Mohandoss A. Chandrasekar G. Jan R.
author_sort	Mohandoss A.
title	Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics
title_short	Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics
title_full	Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics
title_fullStr	Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics
title_full_unstemmed	Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics
title_sort	modelling and analysis of vaccination effects on hand, foot, and mouth disease transmission dynamics
publisher	International Information and Engineering Technology Association
publishDate	2024
_version_	1814061028737024000
score	13.222552

Modelling and Analysis of Vaccination Effects on Hand, Foot, and Mouth Disease Transmission Dynamics

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