A mathematical model to examine the effect of quarantine on the spread of coronavirus

In this study, we propose a mathematical model about the spread of novel coronavirus. This model is a system of fractional order differential equations in Caputo’s sense. The aim is to explain the virus transmission and to investigate the impact of quarantine on decreasing the prevalence rate of the...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2021-01, Vol.142, p.110418-110418, Article 110418
Main Authors: Babaei, A., Ahmadi, M., Jafari, H., Liya, A.
Format: Article
Language:English
Subjects:
Caputo derivative
Coronavirus
Mathematical model
Reproduction number
Stability analysis
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Summary:In this study, we propose a mathematical model about the spread of novel coronavirus. This model is a system of fractional order differential equations in Caputo’s sense. The aim is to explain the virus transmission and to investigate the impact of quarantine on decreasing the prevalence rate of the virus in the environment. The unique solvability of the presented COVID-19 model is proved. Also, the equilibrium points and the reproduction number of the proposed model are discussed in two cases with and without considering the quarantine factor. Using the Adams-Bashforth-Moulton predictor-corrector method, some numerical simulations are implemented to survey the behavior of the considered model.
ISSN:0960-0779
1873-2887
0960-0779
DOI:10.1016/j.chaos.2020.110418