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Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers

Typhoid fever poses a severe hazard to public health and affects at least 27 million people annually around the globe. It is significant to conceptualize the key factors of the transmission phenomena of this bacterial infection. We formulate a novel epidemic model for typhoid fever with vaccination...

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Main Authors:	Jan R., Boulaaras S., Alnegga M., Abdullah F.A.
Other Authors:	57205596279
Format:	Conference paper
Published:	John Wiley and Sons Ltd 2025
Subjects:	Cell proliferation Differentiation (calculus) Dynamics Fixed point arithmetic Mathematical operators Vaccines Bacterial infections Dynamical behaviors Epidemic modeling Fixed points theorems Fractional calculus Fractional dynamics Key factors Stability analyze Typhoid fever Vaccination Jacobian matrices
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id	my.uniten.dspace-36745
record_format	dspace
spelling	my.uniten.dspace-367452025-03-03T15:44:21Z Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers Jan R. Boulaaras S. Alnegga M. Abdullah F.A. 57205596279 36994353700 57194856346 57915424500 Cell proliferation Differentiation (calculus) Dynamics Fixed point arithmetic Mathematical operators Vaccines Bacterial infections Dynamical behaviors Epidemic modeling Fixed points theorems Fractional calculus Fractional dynamics Key factors Stability analyze Typhoid fever Vaccination Jacobian matrices Typhoid fever poses a severe hazard to public health and affects at least 27 million people annually around the globe. It is significant to conceptualize the key factors of the transmission phenomena of this bacterial infection. We formulate a novel epidemic model for typhoid fever with vaccination and carriers via Caputo-Fabrizio operator. The fundamental results of the model are inspected analytically and the basic reproduction value are then assessed. The Jacobian matrix approach has been used to demonstrate the local stability of the infection-free steady-state for (Formula presented.). We interrogated the uniqueness and existence of the solution of the recommended fractional dynamics of typhoid fever. We illustrated the solution pathways of the recommended system of typhoid fever numerically and demonstrated the dynamics of the infection with variation of different parameters. Our results demonstrated how the dynamical behavior of the typhoid fever infection is influenced by input parameters. The findings highlight the significance and persuasive behavior of fractional order and show that the model's fractional memory effects appear to be a good fit for these kinds of findings. We have shown the most attractive factors of the system for the control and prevention through our study. ? 2023 John Wiley & Sons Ltd. Final 2025-03-03T07:44:21Z 2025-03-03T07:44:21Z 2024 Conference paper 10.1002/jnm.3184 2-s2.0-85175467031 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85175467031&doi=10.1002%2fjnm.3184&partnerID=40&md5=63877bf05ab2f3ba00c0c973415f5b2d https://irepository.uniten.edu.my/handle/123456789/36745 37 2 e3184 John Wiley and Sons Ltd Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Cell proliferation Differentiation (calculus) Dynamics Fixed point arithmetic Mathematical operators Vaccines Bacterial infections Dynamical behaviors Epidemic modeling Fixed points theorems Fractional calculus Fractional dynamics Key factors Stability analyze Typhoid fever Vaccination Jacobian matrices
spellingShingle	Cell proliferation Differentiation (calculus) Dynamics Fixed point arithmetic Mathematical operators Vaccines Bacterial infections Dynamical behaviors Epidemic modeling Fixed points theorems Fractional calculus Fractional dynamics Key factors Stability analyze Typhoid fever Vaccination Jacobian matrices Jan R. Boulaaras S. Alnegga M. Abdullah F.A. Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers
description	Typhoid fever poses a severe hazard to public health and affects at least 27 million people annually around the globe. It is significant to conceptualize the key factors of the transmission phenomena of this bacterial infection. We formulate a novel epidemic model for typhoid fever with vaccination and carriers via Caputo-Fabrizio operator. The fundamental results of the model are inspected analytically and the basic reproduction value are then assessed. The Jacobian matrix approach has been used to demonstrate the local stability of the infection-free steady-state for (Formula presented.). We interrogated the uniqueness and existence of the solution of the recommended fractional dynamics of typhoid fever. We illustrated the solution pathways of the recommended system of typhoid fever numerically and demonstrated the dynamics of the infection with variation of different parameters. Our results demonstrated how the dynamical behavior of the typhoid fever infection is influenced by input parameters. The findings highlight the significance and persuasive behavior of fractional order and show that the model's fractional memory effects appear to be a good fit for these kinds of findings. We have shown the most attractive factors of the system for the control and prevention through our study. ? 2023 John Wiley & Sons Ltd.
author2	57205596279
author_facet	57205596279 Jan R. Boulaaras S. Alnegga M. Abdullah F.A.
format	Conference paper
author	Jan R. Boulaaras S. Alnegga M. Abdullah F.A.
author_sort	Jan R.
title	Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers
title_short	Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers
title_full	Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers
title_fullStr	Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers
title_full_unstemmed	Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers
title_sort	fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers
publisher	John Wiley and Sons Ltd
publishDate	2025
_version_	1825816244344848384
score	13.244413

Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers

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