Qualitative analysis and numerical simulation of fractal-fractional COVID-19 epidemic model with real data from Pakistan

Zarin, Rahat; Khan, Amir; Banerjee, Ramashis

doi:10.1080/17455030.2022.2143932

Cited by 3 publications

(2 citation statements)

References 29 publications

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“…Fractional calculus is a generalization of conventional integer-order calculus to noninteger orders. For an understanding of the significance and applications of fractional calculus in many branches of science and engineering, see the following recent works, for instance [35][36][37][38][39][40][41][42][43][44]. In mathematical modeling, the Caputo fractional operator is frequently employed as a fractional derivative.…”

Section: Why the Caputo Operator? Reasons And Motivationmentioning

confidence: 99%

Fractional Optimal Control Model and Bifurcation Analysis of Human Syncytial Respiratory Virus Transmission Dynamics

Awadalla,

Alahmadi,

Cheneke

et al. 2024

Fractal Fract

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In this paper, the Caputo-based fractional derivative optimal control model is looked at to learn more about how the human respiratory syncytial virus (RSV) spreads. Model solution properties such as boundedness and non-negativity are checked and found to be true. The fundamental reproduction number is calculated by using the next-generation matrix’s spectral radius. The fractional optimal control model includes the control functions of vaccination and treatment to illustrate the impact of these interventions on the dynamics of virus transmission. In addition, the order of the derivative in the fractional optimal control problem indicates that encouraging vaccination and treatment early on can slow the spread of RSV. The overall analysis and the simulated behavior of the fractional optimum control model are in good agreement, and this is due in large part to the use of the MATLAB platform.

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Section: Why the Caputo Operator? Reasons And Motivationmentioning

confidence: 99%

Fractional Optimal Control Model and Bifurcation Analysis of Human Syncytial Respiratory Virus Transmission Dynamics

Awadalla,

Alahmadi,

Cheneke

et al. 2024

Fractal Fract

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show abstract

“…As a result, models with fractional order derivatives are able to capture inversion behavior and disintegration memory more precisely. Fractional derivative-based models are useful and provide insight in more depth about a disease [26] , [27] , [28] , [29] , [30] . There have been several fractional operators with nonsingular and singular kernels proposed in the literature, i.e., Baleanu et al [31] considered planar system masses in an equilateral triangle and numerical Study within fractional calculus.…”

Section: Introductionmentioning

confidence: 99%

A vigorous study of fractional order mathematical model for SARS-CoV-2 epidemic with Mittag-Leffler kernel

Chu¹,

Zarin²,

Khan³

et al. 2023

Alexandria Engineering Journal

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Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions

Asadi-Mehregan,

Assari,

Dehghan

2024

Engineering with Computers

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Qualitative analysis and numerical simulation of fractal-fractional COVID-19 epidemic model with real data from Pakistan

Cited by 3 publications

References 29 publications

Fractional Optimal Control Model and Bifurcation Analysis of Human Syncytial Respiratory Virus Transmission Dynamics

Fractional Optimal Control Model and Bifurcation Analysis of Human Syncytial Respiratory Virus Transmission Dynamics

A vigorous study of fractional order mathematical model for SARS-CoV-2 epidemic with Mittag-Leffler kernel

Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions

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