Journal
RESULTS IN PHYSICS
Volume 19, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.rinp.2020.103560
Keywords
COVID-19; ABC fractal-fractional derivative; Qualitative analysis; fractal-fractional Adams-Bashforth method
Funding
- ICRIOS Bocconi University Grant Dynamics of trasmission and control of COVID-19: a new mathematical Modelling and numerical simulation
- Decisions LAB - University Mediterranea of Reggio Calabria, Italy [2/2020]
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This work is the consideration of a fractal fractional mathematical model on the transmission and control of corona virus (COVID-19), in which the total population of an infected area is divided into susceptible, infected and recovered classes. We consider a fractal-fractional order SIR type model for investigation of Covid-19. To realize the transmission and control of corona virus in a much better way, first we study the stability of the corresponding deterministic model using next generation matrix along with basic reproduction number. After this, we study the qualitative analysis using fixed point theory approach. Next, we use fractional Adams-Bashforth approach for investigation of approximate solution to the considered model. At the end numerical simulation are been given by matlab to provide the validity of mathematical system having the arbitrary order and fractal dimension.
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