A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method

Haq, Ihtisham Ul; Yavuz, Mehmet; Ali, Nigar; Akgül, Ali

doi:10.3390/mca27050082

Cited by 13 publications

(12 citation statements)

References 51 publications

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“…Correspondingly, the series solution for the next terms may be computed. Further, the unknown terms in the above equation (20) are as…”

Section: Analytical Algorithm For the Proposed Modelmentioning

confidence: 99%

“…Riemann-Liouville and Caputo conducted the initial investigation into the generalization of the ordinary integral and differential operators into fractional derivatives (FD) [18,19]. After that, the fractional operator has been used by several researchers in a variety of sectors of science, engineering, and real-world issues [20,21,22]. In order to explore real-world issues including viscoelasticity systems, signal processing, diffusion processes, and control processing, fractional order differential equations provided a suitable framework, interested readers are directed to [23,24,25,26].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Ahmad

Qiu

Rahman

2022

mmnsa

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For the sake of human health, it is crucial to investigate infectious diseases including HIV/AIDS, hepatitis, and others. Worldwide, the recently discovered new coronavirus (COVID-19) poses a serious threat. The experimental vaccination and different COVID-19 strains found around the world make the virus' spread unavoidable. In the current research, fractional order is used to study the dynamics of a nonlinear modified COVID-19 SEIR model in the framework of the Caputo-Fabrizio fractional operator with order b. Fixed point theory has been used to investigate the qualitative analysis of the solution respectively. The well-known Laplace transform method is used to determine the approximate solution of the proposed model. Using the COVID-19 data that is currently available, numerical simulations are run to validate the necessary scheme and examine the dynamic behavior of the various compartments of the model. In order to stop the pandemic from spreading, our findings highlight the significance of taking preventative steps and changing one's lifestyle.

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“…Correspondingly, the series solution for the next terms may be computed. Further, the unknown terms in the above equation (20) are as…”

Section: Analytical Algorithm For the Proposed Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Ahmad

Qiu

Rahman

2022

mmnsa

View full text Add to dashboard Cite

show abstract

“…Although diverse infection control strategies, they still create large-scale continuous pathogens and generate renewed challenges to infectious disease control. Many infectious diseases such as malaria, tuberculosis, SARS, and COVID-19 have been and maintain a global threat to human health [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Conformable mathematical modeling of the COVID‐19 transmission dynamics: A more general study

Thabet

Kendre

2023

Math Methods in App Sciences

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Many challenges are still faced in bridging the gap between mathematical modeling and biological sciences. Measuring population immunity to assess the epidemiology of health and disease is a challenging task and is currently an active area of research. However, to meet these challenges, mathematical modeling is an effective technique in shaping the population dynamics that can help disease control. In this paper, we introduce a susceptible–infected–recovered (SIR) model and a susceptible–exposed–infected–recovered–deceased (SEIRD) model based on conformable space‐time partial differential equations (PDEs) for the coronavirus disease 2019 (COVID‐19) pandemic. As efficient analytical tools, we present new modifications based on the fractional exponential rational function method (ERFM) and an analytical technique based on the Adomian decomposition method for obtaining the solutions for the proposed models. These analytical approaches are more efficacious for obtaining analytical solutions for nonlinear systems of PDEs with conformable derivatives. The interesting result of this paper is that it yields new exact and approximate solutions to the proposed COVID‐19 pandemic models with conformable space‐time partial derivatives.

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“…However, it is still unsure whether it has a higher transmission level than the delta variant. Te host viral kinetics model of SARS-CoV-2 under the Caputo fractional-order operator are discussed in [1]. Furthermore, a new study reveals that its spread is compared to wildfre in the context of the delta variant's continuous proliferation and innate immunity.…”

Section: Introductionmentioning

confidence: 99%

A Fuzzy Fractional Order Approach to SIDARTHE Epidemic Model for COVID‐19

et al. 2022

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In this paper, a novel coronavirus SIDARTHE epidemic model system is constructed using a Caputo-type fuzzy fractional differential equation. Applying Caputo derivatives to our model is motivated by the need to more thoroughly examine the dynamics of the model. Here, the fuzzy concept is applied to the SIDARTHE epidemic model for finding the transmission of the coronavirus in an easier way. The existence of a unique solution is examined using fixed point theory for the given fractional SIDARTHE epidemic model. The dynamic behaviour of COVID-19 is understood by applying the numerical results along with a combination of fuzzy Laplace and Adomian decomposition transform. Hence, an efficient method to solve a fuzzy fractional differential equation using Laplace transforms and their inverses using the Caputo sense derivative is developed, which can make the problem easier to solve numerically. Numerical calculations are performed by considering different parameter values.

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A SARS-CoV-2 Fractional-Order Mathematical Model via the Modified Euler Method

Cited by 13 publications

References 51 publications

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Dynamics of a fractional-order COVID-19 model under the nonsingular kernel of Caputo-Fabrizio operator

Conformable mathematical modeling of the COVID‐19 transmission dynamics: A more general study

A Fuzzy Fractional Order Approach to SIDARTHE Epidemic Model for COVID‐19

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