Modeling and simulation of fractional order COVID‐19 model with quarantined‐isolated people

Aslam, Muhammad; Farman, Muhammad; Akgül, Ali; Su, Meng

doi:10.1002/mma.7191

Cited by 15 publications

(10 citation statements)

References 27 publications

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“…For example, Adekunle et al (2020) constructed the spatial variations of clusters that examined the link between deaths and cases of COVID-19 in Africa. Aslam et al (2021) designed a fractional-order model with Caputo Fabrizio fractional derivative operator of order for the COVID-19. The work has the potential in assisting governments to find useful and practical ways for controlling the pandemic.…”

Section: Review Of Related Literaturementioning

confidence: 99%

“…Modelling pandemic datasets in this way help to understand the impact of cases on deaths at all level will enable policymakers to adopt the best strategies to mitigate this pandemic. This is because the analysis of the dynamics of diseases and effective control measures or policies play a vital role in the prevention of diseases (Aslam et al, 2021).…”

Section: Review Of Related Literaturementioning

confidence: 99%

“…5 Predicted effect of cases on deaths in the Eastern Mediterranean country and region. This is because the analysis of the dynamics of virus and effective measures are important in the prevention of the pandemic (Aslam et al, 2021).…”

Section: Global Analysismentioning

confidence: 99%

See 2 more Smart Citations

Modelling spatial variations of novel coronavirus disease (COVID-19): evidence from a global perspective

Appiah-Otoo

Kursah

2021

GeoJournal

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Section: Review Of Related Literaturementioning

confidence: 99%

Section: Review Of Related Literaturementioning

confidence: 99%

See 1 more Smart Citation

Modelling spatial variations of novel coronavirus disease (COVID-19): evidence from a global perspective

Appiah-Otoo

Kursah

2021

GeoJournal

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“…Also recently, many studies have been performed on models of infectious diseases and COVID‐19. 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 …”

Section: Introductionmentioning

confidence: 99%

Evaluation of COVID‐19 pandemic spreading using computational analysis on nonlinear SITR model

Ghasemi

Gouran

2022

Math Methods in App Sciences

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The main purpose of present paper is to investigate the nonlinear model of COVID‐19 (novel coronavirus) computationally. The SITR model is designed according to four classifications of Susceptible (S), Infectious (I), Treatment (T) and Recovered (R). Two convenient and effective numerical techniques namely the Adams–Bashforth Method (ABM) and Milne‐Simpson Method (MSM) are employed to analyze the epidemic model. The influences of the contact rate parameter (β), recovery parameter (μ) and death parameter (α) on the variables including S, I and R are studied comprehensively. The obtained findings indicate that by increasing the contact rate parameter the infectious and recovered categories enhance but the susceptible mechanism decreases.

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“…Recently [3] performed numerical analysis for the Covid-19 model using the fractional calculus approach. For more interesting numerical studies on Covid-19 applications for instance see [1,10]. Several methods are used to get the solutions of fractional derivatives like analytical and semi-analytical see [11,24,31,35].…”

Section: Introductionmentioning

confidence: 99%

The Space–Time Coupled Fractional Cattaneo–Friedrich Maxwell Model with Caputo Derivatives

Khan

Rasheed

2021

Int. J. Appl. Comput. Math

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In the current article, we have thoroughly investigated the collective impact of mixed convection with thermal radiation and chemical reaction on MHD flow of viscous and electrically conducting fluid (Cattaneo-Friedrich Maxwell-CFM model) over a permeable surface embedded in a porous medium. Here we have utilized the Caputo time-fractional derivatives and mechanical laws (generalized shear stress constitutive equation and generalized Fourier's and Fick's laws) are being used to fractionalize the presented model. The effects of radiative heat flux, Ohmic dissipation, and internal absorption are presented through generalized Fourier's law while Fick's law or mass transfer equation offers the effects of first order chemically reactive species. The finite element method and finite difference method are being utilized to numerically solve the nonlinear coupled differential equations. It is established, through compression of numerical and analytical solutions, that the presented model is convergent. Further, error analysis of the subject model is also carried out. Moreover, for better illustration of results, we have also offered a graphical and tabular presentation of impacts of the parameters of interest on velocity, temperature, concentration profile, local skin friction coefficient, and heat and mass transfer. It is evident from the obtained results that velocity near and away from the surface increases with the enhancement of fractional derivative parameter whereas an opposite trend is observed in the case of temperature. Furthermore, it is noticed that temperature shows a decreasing behavior for the value θ < 2 and φ < 2, on the other hand entirely opposite trend is witnessed for θ ≥ 3 and φ ≥ 3. From an engineering perspective, we have acquired comprehensive outcomes such that the heat transfer offers an increasing trend in the case of T R and thermal fractional parameter β 1 . Additionally, the chemical reaction parameter and Sc significantly contribute towards the mass transfer rate. Since, in literature, one cannot refer to such results with non-integer Caputo fractional derivatives thus the results obtained through the current assessment hold significance for future research avenues. Moreover, the numerical inferences of the subject study may contribute to an advanced thermal processing method in the food industry to swiftly increase the temperature for cooking or sterilization drives.

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Modeling and simulation of fractional order COVID‐19 model with quarantined‐isolated people

Cited by 15 publications

References 27 publications

Modelling spatial variations of novel coronavirus disease (COVID-19): evidence from a global perspective

Modelling spatial variations of novel coronavirus disease (COVID-19): evidence from a global perspective

Evaluation of COVID‐19 pandemic spreading using computational analysis on nonlinear SITR model

The Space–Time Coupled Fractional Cattaneo–Friedrich Maxwell Model with Caputo Derivatives

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