ArticleMathematical methods in the applied sciences2020
The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative.
Article in Mathematical methods in the applied sciences, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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17 citing papers in PubMed.
- Analysis of variable-order fractional enzyme kinetics model with time delay.Scientific reports · 2025Article
- Mathematical model of the lumpy skin disease using Caputo fractional-order derivative via invariant point technique.Scientific reports · 2025Article
- Stability and numerical analysis via non-standard finite difference scheme of a nonlinear classical and fractional order model.Results in physics · 2023Article
- Toward an efficient approximate analytical solution for 4-compartment COVID-19 fractional mathematical model.Journal of computational and applied mathematics · 2022Article
- Some novel mathematical analysis on the fractional-order 2019-nCoV dynamical model.Mathematical methods in the applied sciences · 2022Article
- A case study of 2019-nCoV in Russia using integer and fractional order derivatives.Mathematical methods in the applied sciences · 2022Article
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- Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model.Advances in continuous and discrete models · 2022Article
- Fractional dynamical probes in COVID-19 model with control interventions: a comparative assessment of eight most affected countries.European physical journal plus · 2022Article
- A delayed plant disease model with Caputo fractional derivatives.Advances in continuous and discrete models · 2022Article
- A fractional-order model of coronavirus disease 2019 (COVID-19) with governmental action and individual reaction.Mathematical methods in the applied sciences · 2021Article
- A new fractional mathematical modelling of COVID-19 with the availability of vaccine.Results in physics · 2021Article
- Projections and fractional dynamics of COVID-19 with optimal control strategies.Chaos, solitons, and fractals · 2021Article
- A case study of Covid-19 epidemic in India via new generalised Caputo type fractional derivatives.Mathematical methods in the applied sciences · 2021Article
- Fractional order mathematical modeling of novel corona virus (COVID-19).Mathematical methods in the applied sciences · 2021Article
- A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives.Advances in difference equations · 2021Article
- The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative.Mathematical methods in the applied sciences · 2020Article
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Abstract
Novel coronavirus (COVID-19), a global threat whose source is not correctly yet known, was firstly recognised in the city of Wuhan, China, in December 2019. Now, this disease has been spread out to many countries in all over the world. In this paper, we solved a time delay fractional COVID-19 SEIR epidemic model via Caputo fractional derivatives using a predictor-corrector method. We provided numerical simulations to show the nature of the diseases for different classes. We derived existence of unique global solutions to the given time delay fractional differential equations (DFDEs) under a mild Lipschitz condition using properties of a weighted norm, Mittag-Leffler functions and the Banach fixed point theorem. For the graphical simulations, we used real numerical data based on a case study of Wuhan, China, to show the nature of the projected model with respect to time variable. We performed various plots for different values of time delay and fractional order. We observed that the proposed scheme is highly emphatic and easy to implementation for the system of DFDEs.
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