Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

Alexandria Engineering Journal - Tập 59 Số 4 - Trang 2379-2389 - 2020
Muhammad Altaf Khan1, Abdon Atangana2,1
1Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa
2Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

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Tài liệu tham khảo

Wuhan, China Population 1950-2020, <https://www.macrotrends.net/cities/20712/wuhan/population>.

Is the World Ready for the Coronavirus?. Editorial. The New York Times. 29 January 2020. Archived from the original on 30 January 2020.

China virus death toll rises to 41, more than 1,300 infected worldwide. CNBC. 24 January 2020. Archived from the original on 26 January 2020. Retrieved 26 January 2020. Retrieved 30 January 2020.

Owolabi, 2019

Owolabi, 2019, Modeling and simulation of nonlinear dynamical system in the frame of nonlocal and non-singular derivatives, Chaos, Solit. Fract., 1, 146, 10.1016/j.chaos.2019.06.037

Owolabi, 2019, Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative, Chaos, Solit. Fract., 1, 41, 10.1016/j.chaos.2019.06.001

K.M. Owolabi, A. Shikongo, Fractional operator method on a multi-mutation and intrinsic resistance model, Alexandr. Eng. J. 59 (2020) 1999–2013.

Naik, 2019, Modeling the mechanics of viral kinetics under immune control during primary infection of HIV-1 with treatment in fractional order, Phys. A: Stat. Mech. Its Appl., 13, 123816

Shah, 2019, A fractional order model for Hepatitis B virus with treatment via Atangana-Baleanu derivative, Physica A, 538, 122636, 10.1016/j.physa.2019.122636

Khan, 2019, Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel, Eur. Phys. J. Plus, 134, 481, 10.1140/epjp/i2019-12861-1

Jan, 2019, Modeling the transmission of dengue infection through fractional derivatives, Chaos Solit. Fract., 127, 189, 10.1016/j.chaos.2019.07.002

Wang, 2019, A comparison study of bank data in fractional calculus, Chaos Solit. Fract., 126, 369, 10.1016/j.chaos.2019.07.025

Khan, 2019, The dynamics of a new chaotic system through the Caputo-Fabrizio and Atanagan-Baleanu fractional operators, Adv. Mech. Eng., 11, 10.1177/1687814019866540

B. Ghanbari, A. Atangana, A new application of fractional Atangana-Baleanu derivatives: Designing ABC-fractional masks in image processing Phys. A: Stat. Mech. Its Appl., 123516, 2020.

Toufik, 2017, New numerical approximation of fractional derivative with non-local and non-singular kernel: application to chaotic models, Eur. Phys. J. Plus, 132, 444, 10.1140/epjp/i2017-11717-0

Khan, 2018, A new fractional model for tuberculosis with relapse via atangana-Baleanu derivative, Chaos, Solit. Fract., 116, 227, 10.1016/j.chaos.2018.09.039

Alzahrani, 2018, Modeling the dynamics of hepatitis E with optimal control, Chaos Solit. Fract., 116, 287, 10.1016/j.chaos.2018.09.033

P.van den Driesschea, J. Wamough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (Issues 1–2) (2002) 29–48.