ArticleMathematical methods in the applied sciences2021
A fractional-order model of coronavirus disease 2019 (COVID-19) with governmental action and individual reaction.
Article in Mathematical methods in the applied sciences, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed.
- A qualitative study on the stability and existence of solutions in a fractional-order water pollution model via the predictor-corrector approach.Scientific reports · 2025Article
- Modelling disease spread with spatio-temporal fractional derivative equations and saturated incidence rate.Modeling earth systems and environment · 2023Article
- Toward an efficient approximate analytical solution for 4-compartment COVID-19 fractional mathematical model.Journal of computational and applied mathematics · 2022Article
- A case study of 2019-nCoV in Russia using integer and fractional order derivatives.Mathematical methods in the applied sciences · 2022Article
- Evaluation of COVID-19 pandemic spreading using computational analysis on nonlinear SITR model.Mathematical methods in the applied sciences · 2022Article
- Application of genetic algorithm combined with improved SEIR model in predicting the epidemic trend of COVID-19, China.Scientific reports · 2022Article
- RETRACTED ARTICLE: Predicting the spread of COVID-19 with a machine learning technique and multiplicative calculus.Soft computing · 2022Article
- Effect of Fear, Treatment, and Hunting Cooperation on an Eco-Epidemiological Model: Memory Effect in Terms of Fractional Derivative.Iranian journal of science and technology. Transaction A, Science · 2022Article
- A fractional-order model of coronavirus disease 2019 (COVID-19) with governmental action and individual reaction.Mathematical methods in the applied sciences · 2021Article
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5 authors.
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Abstract
The deadly coronavirus disease 2019 (COVID-19) has recently affected each corner of the world. Many governments of different countries have imposed strict measures in order to reduce the severity of the infection. In this present paper, we will study a mathematical model describing COVID-19 dynamics taking into account the government action and the individuals reaction. To this end, we will suggest a system of seven fractional deferential equations (FDEs) that describe the interaction between the classical susceptible, exposed, infectious, and removed (SEIR) individuals along with the government action and individual reaction involvement. Both human-to-human and zoonotic transmissions are considered in the model. The well-posedness of the FDEs model is established in terms of existence, positivity, and boundedness. The basic reproduction number (BRN) is found via the new generation matrix method. Different numerical simulations were carried out by taking into account real reported data from Wuhan, China. It was shown that the governmental action and the individuals' risk awareness reduce effectively the infection spread. Moreover, it was established that with the fractional derivative, the infection converges more quickly to its steady state.
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