Stability analysis and optimal control of a fractional-order generalized SEIR model for the COVID-19 pandemic

DOI10.1016/j.amc.2023.128210OpenAlexW4382247673MaRDI QIDQ6096310

Guojian Ren, Yongguang Yu, Conghui Xu, Yu-Qin Sun, Xin-hui Si

Publication date: 11 September 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2023.128210

zbMATH Keywords

stabilityoptimal controlparameter identificationfractional-orderCOVID-19

Mathematics Subject Classification ID

Functions of one variable (26Axx) Genetics and population dynamics (92Dxx) General theory for ordinary differential equations (34Axx)

Cites Work

• Fractional dynamical system and its linearization theorem
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Dynamical models of tuberculosis and their applications
• Formulation of Euler-Lagrange equations for fractional variational problems
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A fractional order SIR epidemic model for dengue transmission
• Analysis of a fractional SIR model with general incidence function
• Short-term predictions and prevention strategies for COVID-19: a model-based study
• A general formulation and solution scheme for fractional optimal control problems
• COVID-19 pandemic in India: a mathematical model study
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