Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic
M. Higazy
Chaos, Solitons & Fractals, 2020, vol. 138, issue C
Abstract:
Nowadays, COVID-19 has put a significant responsibility on all of us around the world from its detection to its remediation. The globe suffer from lockdown due to COVID-19 pandemic. The researchers are doing their best to discover the nature of this pandemic and try to produce the possible plans to control it. One of the most effective method to understand and control the evolution of this pandemic is to model it via an efficient mathematical model. In this paper, we propose to model COVID-19 pandemic by fractional order SIDARTHE model which did not appear in the literature before. The existence of a stable solution of the fractional order COVID-19 SIDARTHE model is proved and the fractional order necessary conditions of four proposed control strategies are produced. The sensitivity of the fractional order COVID-19 SIDARTHE model to the fractional order and the infection rate parameters are displayed. All studies are numerically simulated using MATLAB software via fractional order differential equation solver.
Keywords: COVID-19; Coronavirus disease; Fractional order sidarthe model; Fractional optimal control; Lyapunov exponents; Predictor-corrector algorithms for fractional differential equations (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (15)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920304057
DOI: 10.1016/j.chaos.2020.110007
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