Some novel mathematical analysis on the fractional-order 2019-nCoV dynamical model

Article Mathematics, Applied

The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative

Pushpendra Kumar et al.

Summary: In this paper, a time delay fractional COVID-19 SEIR epidemic model is solved using a predictor-corrector method. Numerical simulations and graphical plots are used to demonstrate the characteristics of different types of diseases.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2023)

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Article Mathematics, Applied

A case study of Covid-19 epidemic in India via new generalised Caputo type fractional derivatives

Pushpendra Kumar et al.

Summary: In this manuscript, the coronavirus epidemic model in India is studied using a predictor-corrector scheme. The existence, uniqueness, and dynamics of the model are analyzed, and the credibility of fractional order results is compared to integer order results.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2023)

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Article Mathematics, Interdisciplinary Applications

Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach

Mohammad Sharif Ullah et al.

Summary: The spread and control of the novel coronavirus is a significant global challenge. Through mathematical modeling and analysis, this study highlights the importance of control measures such as lockdown, self-protection, social distancing, and isolation in controlling the pandemic.

CHAOS SOLITONS & FRACTALS (2022)

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Article Mathematics, Applied

Fractional order COVID-19 model with transmission rout infected through environment

Shao-Wen Yao et al.

Summary: This paper studies a fractional order COVID-19 model using various techniques and analysis. The sumudu transform and fractal fractional operator are applied to the proposed model for formation, sensitivity, uniqueness, and stability analysis, and numerical simulations are conducted to demonstrate the efficiency of these techniques. The results show that reducing the virus transmission can be achieved through appropriate recognition of individuals.

AIMS MATHEMATICS (2022)

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Article Mathematics, Interdisciplinary Applications

Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom

Fatma Ozkose et al.

Summary: This study presents a new approach to studying the COVID-19 pandemic and analyzes the relationship between the Omicron variant and heart attacks. By using a fractional order pandemic model and real data, important results such as the basic reproduction number and parameter estimation are obtained. Numerical simulations show that the risk of heart attacks will decrease as the cases of Omicron decrease.

CHAOS SOLITONS & FRACTALS (2022)

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Article Physics, Multidisciplinary

A fractional-order mathematical model for COVID-19 outbreak with the effect of symptomatic and asymptomatic transmissions

Zeeshan Ali et al.

European Physical Journal Plus (2022)

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Article Materials Science, Multidisciplinary

Fractal-fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling

Muhammad Farman et al.

Summary: This study investigates the 2nd wave of the Corona virus in India using the fractal-fraction derivative and develops a time-fractional order COVID-19 model. The effects of the disease are considered in a system of fractional differential equations. The analysis reveals the existence and uniqueness of the fractional-order model and its impact on society.

RESULTS IN PHYSICS (2022)

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Article Mathematics

A Fractional-Order Compartmental Model of Vaccination for COVID-19 with the Fear Factor

Amar Nath Chatterjee et al.

Summary: This article presents a method for analyzing the transmission of COVID-19 using mathematical modeling, considering fear effects and vaccination. They identify this type of disease transmission using fractional order differential operator and conduct mathematical analysis and numerical simulation. The results show that fear effects and reducing the fractional order parameter can reduce the number of infections.

MATHEMATICS (2022)

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Article Mathematics

NUMERICAL AND THEORETICAL ANALYSIS OF AN AWARENESS COVID-19 EPIDEMIC MODEL VIA GENERALIZED ATANGANA-BALEANU FRACTIONAL DERIVATIVE

Isa Abdullahi Baba et al.

Summary: This paper proposes a COVID-19 Awareness model based on a generalized fractional Atangana-Baleanu derivative. The existence and uniqueness of the solution of this fractional-order model are investigated using fixed point theorems. Additionally, the predictor-corrector method is used to find numerical solutions and the graphs of various solutions are presented using different parameter values for the derivative.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS (2022)

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Article

ABC Fractional Order Vaccination Model for Covid-19 with Self-Protective Measures

G. M. Vijayalakshmi et al.

International Journal of Applied and Computational Mathematics (2022)

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Article Engineering, Multidisciplinary

A fractional order model for Dual Variants of COVID-19 and HIV co-infection via Atangana-Baleanu derivative

Andrew Omame et al.

Summary: A new mathematical model for dual variants of COVID-19 and HIV co infection has been presented and analyzed. The impact of different variants and vaccination on virus dynamics was studied using methods including fractional derivatives. Simulation results showed a significant decrease in co-infected populations as vaccination rate increased.

ALEXANDRIA ENGINEERING JOURNAL (2022)

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Article Materials Science, Multidisciplinary

A new fractional mathematical modelling of COVID-19 with the availability of vaccine

Pushpendra Kumar et al.

Summary: This study introduces a new SEIRS dynamic model incorporating vaccine rate and utilizes Atangana-Baleanu fractional derivative to explore the disease model dynamics. Real data from Spain is used for parameter values, and Predictor-Corrector algorithm is employed to derive model solutions. The main aim is to demonstrate the significant role of vaccines during the critical period of COVID-19.

RESULTS IN PHYSICS (2021)

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Article Engineering, Multidisciplinary

Prediction studies of the epidemic peak of coronavirus disease in Brazil via new generalised Caputo type fractional derivatives

Pushpendra Kumar et al.

Summary: The study examined the epidemic peaks of COVID-19 in Brazil through the successful application of the Predictor-Corrector scheme and numerical solutions using a recent generalized Caputo type non-classical derivative model framework. The unique solution of the non-linear problem was presented in terms of theorems, and a new analysis of epidemic peaks in Brazil was conducted with parameter values from real data. The proposed fractional technique demonstrated smooth functionality in coding and easy implementation for non-linear equations.

ALEXANDRIA ENGINEERING JOURNAL (2021)

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Article Engineering, Multidisciplinary