ArticleInternational journal of applied and computational mathematics2021
Fractional Model and Numerical Algorithms for Predicting COVID-19 with Isolation and Quarantine Strategies.
Article in International journal of applied and computational mathematics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed, 30 citations in OpenAlex.
- The role of a vaccine booster for a fractional order model of the dynamic of COVID-19: a case study in Thailand.Scientific reports · 2025Article
- Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive.Mathematics and computers in simulation · 2023Article
- Impact of quarantine on fractional order dynamical model of Covid-19.Computers in biology and medicine · 2022Article
- A mathematical study on a fractional COVID-19 transmission model within the framework of nonsingular and nonlocal kernel.Chaos, solitons, and fractals · 2021Article
- Modeling third waves of Covid-19 spread with piecewise differential and integral operators: Turkey, Spain and Czechia.Results in physics · 2021Article
- Predictive models for COVID-19 cases, deaths and recoveries in Algeria.Results in physics · 2021Article
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3 authors at 2 institutions in 1 country.
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Abstract
In December 2019, a new outbreak in Wuhan, China has attracted world-wide attention, the virus then spread rapidly in most countries of the world, the objective of this paper is to investigate the mathematical modelling and dynamics of a novel coronavirus (COVID-19) with Caputo-Fabrizio fractional derivative in the presence of quarantine and isolation strategies. The existence and uniqueness of the solutions for the fractional model is proved using fixed point iterations, the fractional model are shown to have disease-free and an endemic equilibrium point.We construct a fractional version of the four-steps Adams-Bashforth method as well as the error estimate of this method. We have used this method to determine the numerical scheme of this model and Matlab program to illustrate the evolution of the virus in some countries (Morocco, Qatar, Brazil and Mexico) as well as to support theoretical results. The Least squares fitting is a way to find the best fit curve or line for a set of points, so we apply this method in this paper to construct an algorithm to estimate the parameters of fractional model as well as the fractional order, this model gives an estimate better than that of classical model.
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