A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions

DOI10.5206/mase/10857zbMath1498.92060OpenAlexW3116676419WikidataQ114571235 ScholiaQ114571235MaRDI QIDQ5040163

Cameron Richards, Paul J. Hurtado

Publication date: 11 October 2022

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

Full work available at URL: https://doi.org/10.5206/mase/10857

zbMATH Keywords

phase-type distributionhypoexponential distributionCoxian distributionlinear chain trickgamma chain trick

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Pathology, pathophysiology (92C32)

Related Items (1)

Mapping dynamical systems with distributed time delays to sets of ordinary differential equations

Uses Software

• Butools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical models of Ebola -- consequences of underlying assumptions
• A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
• Nonlinear dynamics in physiology and medicine.
• Upper semicontinuity of Morse sets of a discretization of a delay-differential equation: An improvement.
• Finite dimensional state representation of linear and nonlinear delay systems
• An alternative formulation for a distributed delayed logistic equation
• Within-host dynamics of mycoplasma infections: conjunctivitis in wild passerine birds
• Modeling the prescription opioid epidemic
• A reduced mathematical model of the acute inflammatory response. I: Derivation of model and analysis of anti-inflammation
• Generalizations of the `linear chain trick': incorporating more flexible dwell time distributions into mean field ODE models
• Epidemiological models with non-exponentially distributed disease stages and applications to disease control
• Approximation of delays in biochemical systems
• A mathematical model to study the effects of drugs administration on tumor growth dynamics
• Matrix-Exponential Distributions in Applied Probability

This page was built for publication: A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions