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A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis.
- Source :
-
Chaos, Solitons & Fractals . Sep2020, Vol. 138, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- a mathematical model depicting the spread of covid-19 epidemic and implementation of population covid-19 intervention in Italy. The model has 8 components leading to system of 8 ordinary differential equations. In this paper, we investigate the model using the concept of fractional differential operator. A numerical method based on the Lagrange polynomial was used to solve the system equations depicting the spread of COVID-19. A detailed investigation of stability including reproductive number using the next generation matrix, and the Lyapunov were presented in detail. Numerical simulations are depicted for various fractional orders. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09600779
- Volume :
- 138
- Database :
- Academic Search Index
- Journal :
- Chaos, Solitons & Fractals
- Publication Type :
- Periodical
- Accession number :
- 145679779
- Full Text :
- https://doi.org/10.1016/j.chaos.2020.110006