Stability analysis of a fractional ordered COVID-19 model
| Autor: | Meghadri Das, G. P. Samanta |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
2019-20 coronavirus outbreak
Coronavirus disease 2019 (COVID-19) Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) QC1-999 Biophysics caputo fractional differential equation 01 natural sciences Stability (probability) sair compartmental model 0103 physical sciences 0101 mathematics 010301 acoustics Molecular Biology Mathematical Physics Mathematics Applied Mathematics Physics stability Virology 010101 applied mathematics Computational Mathematics sensitivity index covid-19 37n25 92d30 TP248.13-248.65 Biotechnology |
| Zdroj: | Computational and Mathematical Biophysics, Vol 9, Iss 1, Pp 22-45 (2021) |
| ISSN: | 2544-7297 |
| Popis: | The main purpose of this work is to study transmission dynamics of COVID-19 in Italy 2020, where the first case of Coronavirus disease 2019 (COVID-19) in Italy was reported on 31st January 2020. Taking into account the uncertainty due to the limited information about the Coronavirus (COVID-19), we have taken the modified Susceptible-Asymptomatic-Infectious-Recovered (SAIR) compartmental model under fractional order framework. We have formulated our model by subdividing infectious compartment into two sub compartments (reported and unreported) and introduced hospitalized class. In this work, we have studied the local and global stability of the system at different equilibrium points (disease free and endemic) and calculated sensitivity index for Italy scenario. The validity of the model is justified by comparing real data with the results obtained from simulations. |
| Databáze: | OpenAIRE |
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