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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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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cited_by cdi_FETCH-LOGICAL-c394t-ef46465d1223508b2e17789325d334c69e5403ca4b49937c654f7c448e7341643
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container_title Computer methods in biomechanics and biomedical engineering
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creator Khan, Amir
Zarin, Rahat
Khan, Saddam
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Gul, Taza
Humphries, Usa Wannasingha
description 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.
doi_str_mv 10.1080/10255842.2021.1972096
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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
title Fractional dynamics and stability analysis of COVID-19 pandemic model under the harmonic mean type incidence rate
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