Back to Search Start Over

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

Authors :
Badr Saad T. Alkahtani
Sara Salem Alzaid
Source :
Chaos, Solitons, and Fractals, Chaos, Solitons & Fractals
Publication Year :
2020
Publisher :
Elsevier BV, 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.

Details

ISSN :
09600779
Volume :
138
Database :
OpenAIRE
Journal :
Chaos, Solitons & Fractals
Accession number :
edsair.doi.dedup.....bb8df6f6422ae44ff09e7fdb71746c65