Three-stage stochastic epidemic model: An application to AIDS

DOI10.1016/0025-5564(91)90018-EzbMath0741.92013OpenAlexW1976872081WikidataQ52436341 ScholiaQ52436341MaRDI QIDQ1183926

Zhen Zhao, L. Billard

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0025-5564(91)90018-e

zbMATH Keywords

meanvarianceHIVAIDS epidemic processclassical epidemic processforward differential-difference equationsthree-stage stochastic epidemic modeltime- dependent transition probabilities

Mathematics Subject Classification ID

Epidemiology (92D30) Continuous-time Markov processes on general state spaces (60J25) General theory of functional-differential equations (34K05) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (5)

A general Markov model of the HIV epidemic in populations involving both sexual contact and IV drug use ⋮ A multi-stage compartmental model for HIV-infected individuals. I: Waiting time approach ⋮ A stochastic model of the \(HIV\) epidemic involving both sexual contact and IV drug use ⋮ A review and synthesis of the HIV/AIDS epidemic as a multi-stage process ⋮ The chain multinomial models of the HIV epidemiology in homosexual populations

Cites Work

• Assessing the variability of stochastic epidemics
• An annotated bibliography of quantitative methodology relating to the AIDS epidemic
• A model-based approach for estimating the mean incubation period of transfusion-associated acquired immunodeficiency syndrome.
• A Method for Obtaining Short-Term Projections and Lower Bounds on the Size of the AIDS Epidemic
• Simplified Modelling of the Population Dynamics of HIV/AIDS
• Factorial moments and probabilities for the general stochastic epidemic
• Two theorems on solutions of differential-difference equations and applications to epidemic theory
• A recursion theorem on solving differential-difference equations and applications to some stochastic processes
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