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A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
Chaos, Solitons and Fractals Số , năm 2020 (Tập 140, trang -)
DOI: 10.1016/j.chaos.2020.110107
Tài liệu thuộc danh mục: ISI, Scopus
English
English
Từ khóa: Cell proliferation; Differentiation (calculus); Fixed point arithmetic; Adams-Bashforth; Approximate solution; Caputo fractional derivatives; Caputo fractional order derivatives; Equilibrium point; Fixed point theory; Reproduction numbers; Transmissions
Tóm tắt tiếng anh
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. � 2020 Elsevier Ltd
