A mathematical model for COVID-19 transmission by using the Caputo fractional derivative

Nguyen Huy Tuan, Hakimeh Mohammadi and Shahram Rezapour

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: We present a mathematical model for the transmission of COVID-19 by the Caputo fractional-order derivative. We calculate the equilibrium points and the reproduction number for the model and obtain the region of the feasibility of system. By fixed point theory, we prove the existence of a unique solution. Using the generalized Adams-Bashforth-Moulton method, we solve the system and obtain the approximate solutions. We present a numerical simulation for the transmission of COVID-19 in the world, and in this simulation, the reproduction number is obtained as R0=1:610007996, which shows that the epidemic continues.

Keywords: COVID-19; Equilibrium point; Fixed point; Fractional mathematical model; Numerical result (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (32)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s096007792030504x

DOI: 10.1016/j.chaos.2020.110107

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