Bilgilendirme: Kurulum ve veri kapsamındaki çalışmalar devam etmektedir. Göstereceğiniz anlayış için teşekkür ederiz.
 

Modelling and Analysis of a Measles Epidemic Model With the Constant Proportional Caputo Operator

No Thumbnail Available

Date

2023

Journal Title

Journal ISSN

Volume Title

Publisher

Mdpi

Open Access Color

GOLD

Green Open Access

Yes

OpenAIRE Downloads

OpenAIRE Views

Publicly Funded

No
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 1%

Research Projects

Journal Issue

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 Logo
OpenCitations Citation Count
45

Source

Symmetry

Volume

15

Issue

2

Start Page

468

End Page

PlumX Metrics
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

Google Scholar Logo
Google Scholar™
OpenAlex Logo
OpenAlex FWCI
15.53723155

Sustainable Development Goals

3

GOOD HEALTH AND WELL-BEING
GOOD HEALTH AND WELL-BEING Logo