ArticleResults in physics2021
Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data.
Article in Results in physics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers, 1 of them a synthesis that pooled it.
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Who cites it
19 citing papers in PubMed, 1 synthesis or guideline pooled it.
- A Comprehensive Review of Artificial Intelligence in Prevention and Treatment of COVID-19 Pandemic.Frontiers in genetics · 2022Pooled it
- Vaccine breakthrough and rebound infections modeling: Analysis for the United States and the ten U.S. HHS regions.Infectious Disease Modelling · 2023Article
- Stability analysis and optimal control of a fractional-order generalized SEIR model for the COVID-19 pandemic.Applied mathematics and computation · 2023Article
- The fractional-order discrete COVID-19 pandemic model: stability and chaos.Nonlinear dynamics · 2023Article
- Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission.Physica A · 2023Article
- Analytical investigation of compartmental models and measure for reactions of governments.The European physical journal. E, Soft matter · 2022Article
- The effect of the Caputo fractional difference operator on a new discrete COVID-19 model.Results in physics · 2022Article
- A global report on the dynamics of COVID-19 with quarantine and hospitalization: A fractional order model with non-local kernel.Computational biology and chemistry · 2022Article
- Long-term predictions of current confirmed and dead cases of COVID-19 in China by the non-autonomous delayed epidemic models.Cognitive neurodynamics · 2022Article
- Modeling the impact of the vaccine on the COVID-19 epidemic transmission via fractional derivative.European physical journal plus · 2022Article
- Analysis of multi-strain infection of vaccinated and recovered population through epidemic model: Application to COVID-19.PloS one · 2022Article
- Adaptive Technique for Solving 1-D Interface Problems of Fractional Order.International journal of applied and computational mathematics · 2022Article
- Modeling COVID-19 spreading dynamics and unemployment rate evolution in rural and urban counties of Alabama and New York using fractional derivative models.Results in physics · 2021Article
- Sensitivity analysis and optimal control of COVID-19 dynamics based onResults in physics · 2021Article
- A new fuzzy fractional order model of transmission of Covid-19 with quarantine class.European physical journal plus · 2021Article
- Article
- Modeling the COVID-19 Epidemic With Multi-Population and Control Strategies in the United States.Frontiers in public health · 2021Article
- The Impact of Disease Control Measures on the Spread of COVID-19 in the Province of Sindh, Pakistan.PloS one · 2021Article
- Fractional Model and Numerical Algorithms for Predicting COVID-19 with Isolation and Quarantine Strategies.International journal of applied and computational mathematics · 2021Article
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We discuss a fractional-order SIRD mathematical model of the COVID-19 disease in the sense of Caputo in this article. We compute the basic reproduction number through the next-generation matrix. We derive the stability results based on the basic reproduction number. We prove the results of the solution existence and uniqueness via fixed point theory. We utilize the fractional Adams-Bashforth method for obtaining the approximate solution of the proposed model. We illustrate the obtained numerical results in plots to show the COVID-19 transmission dynamics. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.
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