Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative

Pandey, Prashant; Gómez‐Aguilar, J.F.; Kaabar, Mohammed K. A.; Siri, Zailan; Mousa, Abd Allah A.

doi:10.1016/j.compbiomed.2022.105518

Cited by 36 publications

(12 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There are many papers showing the effectiveness of fractional calculus (see [39][40][41][42][43][44][45]). Further, the dynamics of a stochastic epidemic model has been studied, for which we refer [46,47] and mathematical modeling of COVID-19 pandemic using the Caputo-Fabrizio fractional derivative (see [48]). Also, a model of COVID-19 disease has been investigated under the stochastic concept in [49].…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Modeling of Predicting COVID-19 with Isolation and Vaccination Strategies in Morocco

Sadek¹,

Sadek²,

Alaoui³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

In this work, we present a model that uses the fractional order Caputo derivative for the novel Coronavirus disease 2019 with different hospitalization strategies for severe and mild cases and incorporate an awareness program. We generalize the SEIR model of the spread of COVID-19 with a private focus on the transmissibility of people who are aware of the disease and follow preventative health measures and people who are ignorant of the disease and do not follow preventive health measures. Moreover, individuals with severe, mild symptoms and asymptomatically infected are also considered. The basic reproduction number (R 0 ) and local stability of the disease-free equilibrium (DFE) in terms of R 0 are investigated. Also, the uniqueness and existence of the solution are studied. Numerical simulations are performed by using some real values of parameters. Furthermore, the immunization of a sample of aware susceptible individuals in the proposed model to forecast the effect of the vaccination is also considered. Also, an investigation of the effect of public awareness on transmission dynamics is one of our aim in this work. Finally, a prediction about the evolution of COVID-19 in 1000 days is given. For the qualitative theory of the existence of a solution, we use some tools of nonlinear analysis, including Lipschitz criteria. Also, for the numerical interpretation, we use the Adams-Moulton-Bashforth procedure. All the numerical results are presented graphically.

show abstract

Section: Introductionmentioning

confidence: 99%

Fractional Order Modeling of Predicting COVID-19 with Isolation and Vaccination Strategies in Morocco

Sadek¹,

Sadek²,

Alaoui³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…Not long ago, the authors in [40] proposed mathematical model for SARS-CoV-2 pandemic via Caputo, CF and ABC fractional derivatives and studied the dynamics of the pandemic in the Pakistan with actual data. In [41] , using CF fractional operator, mathematical model of SARS-CoV-2 pandemic in India was proposed. They discussed interesting interventions for the spread of SARS-CoV-2 pandemic.…”

Section: Introductionmentioning

confidence: 99%

Fractional order epidemiological model of SARS-CoV-2 dynamism involving Alzheimer’s disease

Addai

Zhang²,

Preko³

et al. 2022

Healthcare Analytics

View full text Add to dashboard Cite

“…And there are also some studies discussing the fractional model of COVID-19 [19] . The Genocchi collocation technique is applied to investigate the proposed fractional mathematical model numerically via Caputo–Fabrizio fractional derivative in [20] . In [21] , the COVID-19 transmission dynamics is studied by using CF and ABC non-singular fractional derivatives.…”

Section: Introductionmentioning

confidence: 99%

Optimal control and cost-effectiveness analysis for a COVID-19 model with individual protection awareness

Yuan

2022

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative

Cited by 36 publications

References 31 publications

Fractional Order Modeling of Predicting COVID-19 with Isolation and Vaccination Strategies in Morocco

Fractional Order Modeling of Predicting COVID-19 with Isolation and Vaccination Strategies in Morocco

Fractional order epidemiological model of SARS-CoV-2 dynamism involving Alzheimer’s disease

Optimal control and cost-effectiveness analysis for a COVID-19 model with individual protection awareness

Contact Info

Product

Resources

About