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A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis
- 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.
- Subjects :
- Lyapunov function
Covid-19 model
General Mathematics
Population
General Physics and Astronomy
01 natural sciences
Stability (probability)
Article
010305 fluids & plasmas
Next-generation matrix
symbols.namesake
0103 physical sciences
Applied mathematics
education
010301 acoustics
Reproductivity numbers
Lagrange polynomial
Mathematics
education.field_of_study
Applied Mathematics
Numerical analysis
Statistical and Nonlinear Physics
Fractional calculus
Ordinary differential equation
Non-local operators
symbols
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 138
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi.dedup.....bb8df6f6422ae44ff09e7fdb71746c65