A General Framework for Fractional Order Compartment Models

DOI10.1137/21M1398549zbMath1471.34015MaRDI QIDQ4992615

B. I. Henry, J. A. Nichols, Austen M. Erickson, John M. Murray, A. V. McGann, Christopher Angstmann

Publication date: 9 June 2021

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

fractional calculusstochastic modelspharmacokineticsepidemiologycompartment models

Mathematics Subject Classification ID

Epidemiology (92D30) Fractional processes, including fractional Brownian motion (60G22) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Other physical applications of random processes (60K40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Related Items (2)

Compartment Models with Memory ⋮ Global stability of a fractional order SIS epidemic model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fractional order recovery SIR model from a stochastic process
• Some properties of the Kermack-McKendrick epidemic model with fractional derivative and nonlinear incidence
• Remarks on fractional derivatives
• A mathematical model of dengue transmission with memory
• A predator prey model with age structure
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A fractional-order infectivity SIR model
• Fractional order mathematical modeling of COVID-19 transmission
• A mathematical model for COVID-19 transmission by using the Caputo fractional derivative
• A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1)
• Random Walks on Lattices. II
• A reaction–subdiffusion model of fluorescence recovery after photobleaching (FRAP)
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Mathematical Modelling of Subdiffusion-reaction Systems
• Continuous Time Random Walks with Reactions Forcing and Trapping

This page was built for publication: A General Framework for Fractional Order Compartment Models