On the Optimal Control of Coronavirus (2019-Ncov) Mathematical Model; a Numerical Approach
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Top 10%
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Top 10%
Abstract
In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the suggested model is the main objective of this work. Two control variables are presented in this model to minimize the population number of infected and asymptotically infected people. Necessary optimality conditions are derived. The Grunwald-Letnikov nonstandard weighted average finite difference method is constructed for simulating the proposed optimal control system. The stability of the proposed method is proved. In order to validate the theoretical results, numerical simulations and comparative studies are given.
Description
Al-Mekhlafi, Seham/0000-0003-0351-9679
ORCID
Keywords
Coronavirus Diseases, Fractional Order Optimal Control Problems, Grunwald-Letnikov Nonstandard Weighted Average Finite Difference Method, Artificial intelligence, Population, Fractional order optimal control problems, Control (management), Mathematical analysis, Quantum mechanics, Grünwald–Letnikov nonstandard weighted average finite difference method, Differential equation, Sociology, Epidemic model, Health Sciences, Machine learning, QA1-939, FOS: Mathematics, Control theory (sociology), Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Demography, Research, Modeling the Dynamics of COVID-19 Pandemic, Physics, Mathematical optimization, Public Health, Environmental and Occupational Health, Modeling, Partial differential equation, Applied mathematics, Computer science, Optimal control, FOS: Sociology, Modeling and Simulation, Disease Transmission and Population Dynamics, Coronavirus diseases, Physical Sciences, Nonlinear system, Medicine, Mathematics, Ordinary differential equation, Epidemiology, Numerical methods for initial value problems involving ordinary differential equations, Fractional derivatives and integrals, coronavirus diseases, Medical epidemiology, Grünwald-Letnikov nonstandard weighted average finite difference method, fractional order optimal control problems
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Sweilam, N. H...et al. (2020). "On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach", ADVANCES IN DIFFERENCE EQUATIONS, Vol. 2020, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
20
Source
Advances in Difference Equations
Volume
2020
Issue
1
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End Page
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Citations
CrossRef : 18
Scopus : 20
PubMed : 3
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Mendeley Readers : 19
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