A Comparison of Stochastic Systems with Different Types of Delays

DOI10.1080/07362994.2013.806217zbMath1304.60063OpenAlexW2053425168WikidataQ57425030 ScholiaQ57425030MaRDI QIDQ5746987

Jared Catenacci, Shu-Hua Hu, Harvey Thomas Banks

Publication date: 11 February 2014

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.4/8208

zbMATH Keywords

Markov chaingamma distributionlinear chain trickstochastic systems with delayKurtz limit theoremstochastic systems with fixed random delaystochastic vs. deterministic approximations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic functional-differential equations (34K50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Generalizations of the `linear chain trick': incorporating more flexible dwell time distributions into mean field ODE models

Cites Work

• Unnamed Item
• A delay stochastic process with applications in molecular biology
• On the use of reducible-functional differential equations in biological models
• Spline approximations for functional differential equations
• Strong approximation theorems for density dependent Markov chains
• Stochastic epidemic models and their statistical analysis
• Stochastic and deterministic models for agricultural production networks
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
• On Non-Linear Phenomenon on Self-Rolling

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