A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator

Khan, Tahir; Ullah, Roman; Zaman, Gul; Alzabut, Jehad

doi:10.3934/mbe.2021305

Cited by 23 publications

(16 citation statements)

References 48 publications

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“…Compared with some earlier related and useful studies without considering the spatial factor of SARS-CoV-2 infection [35] , [36] , [37] , [38] , our results give rise to the following implications: (1) It is clear to see an important impact of spatial heterogeneity on SARS-CoV-2 infection within the host. Based on the theoretical results,

as the threshold parameter of dynamical behaviors plays a crucial role in SARS-CoV-2 infections.…”

Section: Discussionsupporting

confidence: 46%

Spatial and temporal dynamics of SARS‐CoV‐2: Modeling, analysis and simulation

Wang

Feng

2023

Applied Mathematical Modelling

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as the threshold parameter of dynamical behaviors plays a crucial role in SARS-CoV-2 infections.…”

Section: Discussionsupporting

confidence: 46%

Spatial and temporal dynamics of SARS‐CoV‐2: Modeling, analysis and simulation

Wang

Feng

2023

Applied Mathematical Modelling

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“…We suggest the readers to consider the model by using other numerical techniques and different fractional operators. The readers can consult some relevant topics in [36] , [37] , [38] , [39] .…”

Section: Discussionmentioning

confidence: 99%

A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

Khan¹,

Alzabut²,

Tunç³

et al. 2023

Results in Control and Optimization

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“…Khan et al [59,60] modeled a mathematical structure of dynamics of SARS-CoV-2 virus in the form of four initial value problems equipped with four state functions S, P 1 , P 2 , and R, which are a part of total population. This model is…”

Section: Basic Conceptsmentioning

confidence: 99%

A Study on the Fractal-Fractional Epidemic Probability-Based Model of SARS-CoV-2 Virus along with the Taylor Operational Matrix Method for Its Caputo Version

Rezapour

Etemad

Avcı

et al. 2022

Journal of Function Spaces

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SARS-CoV-2 is a strain of the large coronavirus family that has led to COVID-19 disease. The virus has been one of the deadliest known viruses in the world to date. Rapid mutations and the creation of new strains cause researchers to focus on the dynamic behaviors of the virus and to analyze it accurately through clinical research and mathematical models. In this paper, from the point of view of mathematical modeling, we intend to focus on the dynamic behavior of the system and examine its analytical and numerical aspects in two different structures. In other words, by recalling newly formulated hybrid fractional-fractal operators, we present a fractal-fractional probability-based model of SARS-CoV-2 virus for the first time and extract its equivalent compact fractal-fractional IVP to investigate its existence and stability criteria. A type of special admissible contractions will help us in this regard. Moreover, based on the source data, we simulate our system according to algorithms derived by Adams-Bashforth method and explain the effects of variation of the dimension of fractal and fractional order on dynamics of solutions. Finally, we transform our fractal-fractional model into a Caputo probability-based model of SARS-CoV-2 to derive solutions via the operational matrix method under Taylor’s basis. The numerical simulations show close behaviors for both of models.

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A mathematical model for the dynamics of SARS-CoV-2 virus using the Caputo-Fabrizio operator

Cited by 23 publications

References 48 publications

Spatial and temporal dynamics of SARS‐CoV‐2: Modeling, analysis and simulation

Spatial and temporal dynamics of SARS‐CoV‐2: Modeling, analysis and simulation

A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

A Study on the Fractal-Fractional Epidemic Probability-Based Model of SARS-CoV-2 Virus along with the Taylor Operational Matrix Method for Its Caputo Version

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