Higazy, M.
2020-07-30T18:33:51Z
2020-07-30T18:33:51Z
2020-06-13
0960-0779
https://www.sciencedirect.com/science/article/pii/S0960077920304057?via%3Dihub
http://hdl.handle.net/20.500.12010/11439
19 páginas
application/pdf
Chaos, Solitons & Fractals
reponame:Expeditio Repositorio Institucional UJTL
instname:Universidad de Bogotá Jorge Tadeo Lozano
Coronavirus disease
Fractional order sidarthe model
Fractional optimal control
Lyapunov exponents
Predictor-corrector algorithms for fractional differential equations
Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic
Artículo
Síndrome respiratorio agudo grave
COVID-19
SARS-CoV-2
Coronavirus
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/acceptedVersion
https://doi.org/10.1016/j.chaos.2020.110007
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.