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Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel

An enormous cost is placed on people, communities, and healthcare systems by bacterial infections. Measures of the burden of bacterial infections include morbidity, mortality, economic expenditures, and overall effects on public health. Campylobacteriosis is a bacterial infection imposes a significa...

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Main Authors: Degaichia H., Jan R., Rehman Z.U., Boulaaras S., Jan A.
Other Authors: 56158307600
Format: Article
Published: Springer Nature 2024
Subjects:
Bacterial infection
Caputo�Fabrizio operator
Dynamical behavior
Endemic indicator
Fractional-calculus
Mathematical model
Dynamics
Health care
Mathematical operators
Transmissions
Bacterial infections
Campylobacteriosis
Caputo�fabrizio operator
Dynamical behaviors
Fractional calculus
Input parameter
Nonlocal
Nonsingular
Transmission dynamics
Cell proliferation
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spelling my.uniten.dspace-338482024-10-14T11:17:20Z Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel Degaichia H. Jan R. Rehman Z.U. Boulaaras S. Jan A. 56158307600 57205596279 58095489000 36994353700 57210164406 Bacterial infection Caputo�Fabrizio operator Dynamical behavior Endemic indicator Fractional-calculus Mathematical model Dynamics Health care Mathematical operators Transmissions Bacterial infections Campylobacteriosis Caputo�fabrizio operator Dynamical behaviors Endemic indicator Fractional calculus Input parameter Nonlocal Nonsingular Transmission dynamics Cell proliferation An enormous cost is placed on people, communities, and healthcare systems by bacterial infections. Measures of the burden of bacterial infections include morbidity, mortality, economic expenditures, and overall effects on public health. Campylobacteriosis is a bacterial infection imposes a significant economic burden on both individuals and societies due to its prevalence, healthcare costs, and the associated loss of productivity. In our research, we develop a model to analyze the transmission of campylobacteriosis infection, taking into account factors such as vaccination and treatment. We also examine the fundamental characteristics of fractional calculus to understand the model better. The equilibria of the model are studied, and we calculate the reproduction parameter denoted as R . Furthermore, we provide proof of stability for the equilibria of the system. Lastly, we conduct numerical investigations to explore the variation of the system�s reproduction parameter with different input parameters. We have established the necessary conditions to ensure the existence and uniqueness of solutions for the proposed model of campylobacteriosis infection. To better understand the complex dynamics of campylobacteriosis infection, we conduct various simulations of the suggested model while modifying the input factors. These simulations allow us to investigate the effects of different input parameters on the dynamics of campylobacteriosis infection. We analyze the dynamic behavior of the system to develop efficient control strategies for managing the infection. Notable improvements have been observed by reducing the order of the fractional derivative. Based on our findings, we propose various factors to the policy makers in the community to mitigate the spread of campylobacteriosis infection. � 2023, The Author(s). Final 2024-10-14T03:17:20Z 2024-10-14T03:17:20Z 2023 Article 10.1007/s42452-023-05538-x 2-s2.0-85176497524 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176497524&doi=10.1007%2fs42452-023-05538-x&partnerID=40&md5=4963901522a7a71483bd639e0925dcc2 https://irepository.uniten.edu.my/handle/123456789/33848 5 12 324 All Open Access Gold Open Access Springer Nature 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 Bacterial infection
Caputo�Fabrizio operator
Dynamical behavior
Endemic indicator
Fractional-calculus
Mathematical model
Dynamics
Health care
Mathematical operators
Transmissions
Bacterial infections
Campylobacteriosis
Caputo�fabrizio operator
Dynamical behaviors
Endemic indicator
Fractional calculus
Input parameter
Nonlocal
Nonsingular
Transmission dynamics
Cell proliferation
spellingShingle Bacterial infection
Caputo�Fabrizio operator
Dynamical behavior
Endemic indicator
Fractional-calculus
Mathematical model
Dynamics
Health care
Mathematical operators
Transmissions
Bacterial infections
Campylobacteriosis
Caputo�fabrizio operator
Dynamical behaviors
Endemic indicator
Fractional calculus
Input parameter
Nonlocal
Nonsingular
Transmission dynamics
Cell proliferation
Degaichia H.
Jan R.
Rehman Z.U.
Boulaaras S.
Jan A.
Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel
description An enormous cost is placed on people, communities, and healthcare systems by bacterial infections. Measures of the burden of bacterial infections include morbidity, mortality, economic expenditures, and overall effects on public health. Campylobacteriosis is a bacterial infection imposes a significant economic burden on both individuals and societies due to its prevalence, healthcare costs, and the associated loss of productivity. In our research, we develop a model to analyze the transmission of campylobacteriosis infection, taking into account factors such as vaccination and treatment. We also examine the fundamental characteristics of fractional calculus to understand the model better. The equilibria of the model are studied, and we calculate the reproduction parameter denoted as R . Furthermore, we provide proof of stability for the equilibria of the system. Lastly, we conduct numerical investigations to explore the variation of the system�s reproduction parameter with different input parameters. We have established the necessary conditions to ensure the existence and uniqueness of solutions for the proposed model of campylobacteriosis infection. To better understand the complex dynamics of campylobacteriosis infection, we conduct various simulations of the suggested model while modifying the input factors. These simulations allow us to investigate the effects of different input parameters on the dynamics of campylobacteriosis infection. We analyze the dynamic behavior of the system to develop efficient control strategies for managing the infection. Notable improvements have been observed by reducing the order of the fractional derivative. Based on our findings, we propose various factors to the policy makers in the community to mitigate the spread of campylobacteriosis infection. � 2023, The Author(s).
author2 56158307600
author_facet 56158307600
Degaichia H.
Jan R.
Rehman Z.U.
Boulaaras S.
Jan A.
format Article
author Degaichia H.
Jan R.
Rehman Z.U.
Boulaaras S.
Jan A.
author_sort Degaichia H.
title Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel
title_short Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel
title_full Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel
title_fullStr Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel
title_full_unstemmed Fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel
title_sort fractional-view analysis of the transmission dynamics of a bacterial infection with nonlocal and nonsingular kernel
publisher Springer Nature
publishDate 2024
_version_ 1814061156010033152
score 13.222552

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