A comparison and calibration of integer and fractional-order models of COVID-19 with stratified public response

DOI10.3934/mbe.2022597OpenAlexW4294081767MaRDI QIDQ2694107

Mohammad Kohandel, Brydon Eastman, Somayeh Fouladi

Publication date: 28 March 2023

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2022597

zbMATH Keywords

parameter estimationnumerical simulationCaputo fractional derivativeeffective reproduction numberCOVID-19identifiability analysisL1-2 discretization

Mathematics Subject Classification ID

Epidemiology (92D30) Fractional derivatives and integrals (26A33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fractional order recovery SIR model from a stochastic process
• A latency fractional order model for HIV dynamics
• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• On a fractional order Ebola epidemic model
• Estimation and identification of parameters in a lumped cerebrovascular model
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Memory effect in a self-sustained birhythmic biological system
• Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations
• An efficient FDTD algorithm for 2D/3D time fractional Maxwell's system
• Numerical analysis of finite-difference time-domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium
• Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag-Leffler kernel by finite difference and local discontinuous Galerkin methods
• Analysis and forecast of COVID-19 spreading in China, Italy and France
• Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells
• Forecasting of COVID-19 pandemic: from integer derivatives to fractional derivatives
• Fractional order SEIR model with generalized incidence rate
• Fractional order SIR model with generalized incidence rate
• A note on tools for prediction under uncertainty and identifiability of SIR-like dynamical systems for epidemiology
• A practical approach to parameter estimation applied to model predicting heart rate regulation
• Finite difference/spectral approximations for the time-fractional diffusion equation
• On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
• A Study of an Epidemic SIR Model via Homotopy Analysis Method in the Sense of Caputo-Fractional System
• Fractional variational calculus in terms of Riesz fractional derivatives
• Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay