Back to Search Start Over

A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis.

Authors :
Alkahtani, Badr Saad T.
Alzaid, Sara Salem
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