Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative

DOI10.1016/j.cnsns.2021.106076zbMath1478.92202OpenAlexW3207124422MaRDI QIDQ2060643

O. R. Vincent, O. T. Kolebaje, Peter V. E. McClintock, Uchechukwu E. Vincent

Publication date: 13 December 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106076

zbMATH Keywords

stability analysisfractional derivativesmathematical modellingAfricaCOVID-19

Mathematics Subject Classification ID

Epidemiology (92D30) Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Global stability of solutions to ordinary differential equations (34D23)

Related Items (4)

Dynamical behaviour and chaotic phenomena of HIV infection through fractional calculus ⋮ Modeling the competitive transmission of the Omicron strain and delta strain of COVID-19 ⋮ On fractal-fractional Covid-19 mathematical model ⋮ Modeling and prediction of the third wave of COVID-19 spread in India

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lyapunov functions for a dengue disease transmission model
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Mathematical modeling of tuberculosis propagation and patient detection
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Modeling the effect of quarantine and vaccination on Ebola disease
• A fractional-order model for Ebola virus infection with delayed immune response on heterogeneous complex networks
• Mathematical modeling of pulmonary tuberculosis therapy: insights from a prototype model with rifampin
• An epidemiological approach to insurgent population modeling with the Atangana-Baleanu fractional derivative
• A fractional order model for hepatitis B virus with treatment via Atangana-Baleanu derivative
• A new fractional model for tuberculosis with relapse via Atangana-Baleanu derivative
• Modeling the dynamics of hepatitis E with optimal control
• Could masks curtail the post-lockdown resurgence of COVID-19 in the US?
• Modeling and simulation of nonlinear dynamical system in the frame of nonlocal and non-singular derivatives
• Modeling the transmission of dengue infection through fractional derivatives
• Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative
• A comparison study of bank data in fractional calculus
• FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law
• Mathematical modeling of tuberculosis data of China
• Dengue fever: Mathematical modelling and computer simulation
• The Effective Reproduction Number as a Prelude to Statistical Estimation of Time-Dependent Epidemic Trends
• Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
• Numerical Methods for Fractional Differentiation

This page was built for publication: Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative