The effect of delay in viral production in within-host models during early infection

DOI10.1080/17513758.2018.1498984zbMath1447.92393OpenAlexW2883885856WikidataQ59356563 ScholiaQ59356563MaRDI QIDQ3304325

Fan Bai, Krystin E. S. Huff, Linda J. S. Allen

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2018.1498984

zbMATH Keywords

stochastic differential equationMarkov chainviral infectionprobability of extinction

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of branching processes (60J85) Stochastic functional-differential equations (34K50) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Cites Work

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• On the extinction probability in models of within-host infection: the role of latency and immunity
• Stochastic models for virus and immune system dynamics
• Stochastic delay differential equations for genetic regulatory networks
• Numerical solution of SDE through computer experiments. Including floppy disk
• First passage time to detection in stochastic population dynamical models for HIV-1
• Modeling amantadine treatment of influenza A virus in vitro
• Dynamics of HIV infection of CD4\(^ +\) T cells
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A stochastic continuous-time age-structured population model.
• Modeling within-host HIV-1 dynamics and the evolution of drug resistance: trade-offs between viral enzyme function and drug susceptibility
• Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models
• Stochastic Analysis of Pre- and Postexposure Prophylaxis against HIV Infection
• Extinction thresholds in deterministic and stochastic epidemic models
• Modeling with Itô Stochastic Differential Equations
• On the spread of a disease with gamma distributed latent and infectious periods
• Stochastic Population and Epidemic Models
• Construction of Equivalent Stochastic Differential Equation Models

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