Fractional dynamics and stability analysis of COVID-19 pandemic model under the harmonic mean type incidence rate

In this research, COVID-19 model is formulated by incorporating harmonic mean type incidence rate which is more realistic in average speed. Basic reproduction number, equilibrium points, and stability of the proposed model is established under certain conditions. Runge-Kutta fourth order approximati...

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Bibliographic Details
Published in:Computer methods in biomechanics and biomedical engineering 2022-05, Vol.25 (6), p.619-640
Main Authors: Khan, Amir, Zarin, Rahat, Khan, Saddam, Saeed, Anwar, Gul, Taza, Humphries, Usa Wannasingha
Format: Article
Language:English
Subjects:
Basic Reproduction Number
Caputo-Fabrizio derivative
Coronaviruses
COVID-19
COVID-19 - epidemiology
Dynamic stability
Humans
Incidence
Mathematical models
Numerical simulations
Pandemic model
Pandemics
Parameter identification
Reproduction
Runge-Kutta method
Sensitivity analysis
Stability analysis
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Summary:In this research, COVID-19 model is formulated by incorporating harmonic mean type incidence rate which is more realistic in average speed. Basic reproduction number, equilibrium points, and stability of the proposed model is established under certain conditions. Runge-Kutta fourth order approximation is used to solve the deterministic model. The model is then fractionalized by using Caputo-Fabrizio derivative and the existence and uniqueness of the solution are proved by using Banach and Leray-Schauder alternative type theorems. For the fractional numerical simulations, we use the Adam-Moulton scheme. Sensitivity analysis of the proposed deterministic model is studied to identify those parameters which are highly influential on basic reproduction number.
ISSN:1025-5842
1476-8259
DOI:10.1080/10255842.2021.1972096