Modelling and Analysis of a Measles Epidemic Model With the Constant Proportional Caputo Operator
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Mdpi
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
Abstract
Despite the existence of a secure and reliable immunization, measles, also known as rubeola, continues to be a leading cause of fatalities globally, especially in underdeveloped nations. For investigation and observation of the dynamical transmission of the disease with the influence of vaccination, we proposed a novel fractional order measles model with a constant proportional (CP) Caputo operator. We analysed the proposed model's positivity, boundedness, well-posedness, and biological viability. Reproductive and strength numbers were also verified to examine how the illness dynamically behaves in society. For local and global stability analysis, we introduced the Lyapunov function with first and second derivatives. In order to evaluate the fractional integral operator, we used different techniques to invert the PC and CPC operators. We also used our suggested model's fractional differential equations to derive the eigenfunctions of the CPC operator. There is a detailed discussion of additional analysis on the CPC and Hilfer generalised proportional operators. Employing the Laplace with the Adomian decomposition technique, we simulated a system of fractional differential equations numerically. Finally, numerical results and simulations were derived with the proposed measles model. The intricate and vital study of systems with symmetry is one of the many applications of contemporary fractional mathematical control. A strong tool that makes it possible to create numerical answers to a given fractional differential equation methodically is symmetry analysis. It is discovered that the proposed fractional order model provides a more realistic way of understanding the dynamics of a measles epidemic.
Description
Farman, Dr. Muhamamd/0000-0001-7616-0500; De La Sen, Manuel/0000-0001-9320-9433; Shehzad, Aamir/0009-0007-7995-2141
Keywords
Constant Proportional (Cp) Operator, Measles Model, Biological Feasibility, Strength Number, Eigenfunctions, Hilfer Generalised Proportional, strength number, biological feasibility, measles model, eigenfunctions, Hilfer generalised proportional, constant proportional (CP) operator
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences
Citation
Farman, Muhammad;...et.al. (2023). "Modelling and Analysis of a Measles Epidemic Model with the Constant Proportional Caputo Operator", Symmetry, Vol.15. No.2.
WoS Q
Q2
Scopus Q
Q2

OpenCitations Citation Count
45
Source
Symmetry
Volume
15
Issue
2
Start Page
468
End Page
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Citations
Scopus : 57
Captures
Mendeley Readers : 12
SCOPUS™ Citations
57
checked on Feb 03, 2026
Web of Science™ Citations
48
checked on Feb 03, 2026
Page Views
2
checked on Feb 03, 2026
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OpenAlex FWCI
15.53723155
Sustainable Development Goals
3
GOOD HEALTH AND WELL-BEING


