A mathematical model to examine the effect of quarantine on the spread of coronavirus. (January 2021)

• Record Type: Journal Article
• Authors: Babaei, A.; Ahmadi, M.; Jafari, H.; Liya, A.
• Is Part Of: Chaos, solitons and fractals. Volume 142(2021)
• Publication Date: 2021-01
• Subjects: Coronavirus -- Mathematical model -- Caputo derivative -- Stability analysis -- Reproduction number; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110418
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: 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.