Modeling and stability analysis of the spread of novel coronavirus disease COVID-19
| Autor: | Jehad Alzabut, Fatma Bozkurt Yousef, D. Abraham Vianny, A. George Maria Selvam, Mary Jacintha |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
2019-20 coronavirus outbreak
Coronavirus disease 2019 (COVID-19) Strain (chemistry) Applied Mathematics Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) 010102 general mathematics Outbreak Disease Biology medicine.disease_cause 01 natural sciences Virology 010101 applied mathematics Modeling and Simulation medicine 0101 mathematics Coronavirus |
| Popis: | © 2021 World Scientific Publishing Company.Towards the end of 2019, the world witnessed the outbreak of Severe Acute Respiratory Syndrome Coronavirus-2 (COVID-19), a new strain of coronavirus that was unidentified in humans previously. In this paper, a new fractional-order Susceptible-Exposed-Infected-Hospitalized-Recovered (SEIHR) model is formulated for COVID-19, where the population is infected due to human transmission. The fractional-order discrete version of the model is obtained by the process of discretization and the basic reproductive number is calculated with the next-generation matrix approach. All equilibrium points related to the disease transmission model are then computed. Further, sufficient conditions to investigate all possible equilibria of the model are established in terms of the basic reproduction number (local stability) and are supported with time series, phase portraits and bifurcation diagrams. Finally, numerical simulations are provided to demonstrate the theoretical findings. |
| Databáze: | OpenAIRE |
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