ArticleISA transactions2022
On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan.
Article in ISA transactions, 2022. 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.
- A fractional-order mathematical model based on vaccinated and infected compartments of SARS-CoV-2 with a real case study during the last stages of the epidemiological event.Journal of computational and applied mathematics · 2023Article
- Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model.Results in physics · 2023Article
- Mathematical Modeling of SARS-CoV-2 Omicron Wave under Vaccination Effects.Computation (Basel, Switzerland) · 2023Article
- Pediatric Residency Training amid the COVID-19 Pandemic: Exploring the Impact of Supervision and Clinical Practice Guidelines on Clinical and Financial Outcomes.Computational and mathematical methods in medicine · 2022Article
- SIRVD-DL: A COVID-19 deep learning prediction model based on time-dependent SIRVD.Computers in biology and medicine · 2021Article
- A numerical and analytical study of SE(Is)(Ih)AR epidemic fractional order COVID-19 model.Advances in difference equations · 2021Article
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Abstract
In this paper, a fractional-order SIRD mathematical model is presented with Caputo derivative for the transmission of COVID-19 between humans. We calculate the steady-states of the system and discuss their stability. We also discuss the existence and uniqueness of a non-negative solution for the system under study. Additionally, we obtain an approximate response by implementing the fractional Euler method. Next, we investigate the first and the second waves of the disease in Iran and Japan; then we give a prediction concerning the second wave of the disease. We display the numerical simulations for different derivative orders in order to evaluate the efficacy of the fractional concept on the system behaviors. We also calculate the optimal control of the system and display its numerical simulations.
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