A stochastic model of the HIV epidemic for heterosexual transmission involving married couples and prostitutes. I: The probabilities of HIV transmission and pair formation

DOI10.1016/S0895-7177(96)00172-0zbMath0885.92032MaRDI QIDQ1362264

O. Diekmann

Publication date: 28 April 1998

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

pair formationheterosexual transmissionmixing patternsexual activity levelprostitutes

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Special processes (60K99)

Related Items (8)

Analysis of a nonautonomous stochastic predator-prey model with Crowley-Martin functional response ⋮ The long time behavior of DI SIR epidemic model with stochastic perturbation ⋮ Stochastic models for the spread of HIV in a mobile heterosexual population ⋮ Stochastic SIS epidemic model on network with Lévy noise ⋮ The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence ⋮ A stochastic model of the HIV epidemic for heterosexual transmission involving married couples and prostitutes: II. The chain multinomial model of the HIV epidemic ⋮ Survival and stationary distribution in a stochastic SIS model ⋮ Analysis and simulation of a stochastic, discrete-individual model of STD transmission with partnership concurrency

Cites Work

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• On the transmission dynamics of HIV
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• A stochastic model of the \(HIV\) epidemic involving both sexual contact and IV drug use
• The chain multinomial models of the HIV epidemiology in homosexual populations
• A transmission model for HIV with application to the Australian epidemic
• A stochastic model of the HIV epidemic and the HIV infection distribution in a homosexual population
• Characterization of HIV infection and seroconversion by a stochastic model of the HIV epidemic
• A model for HIV in Asia
• Estimation of Incidence of HIV Infection Using Cross-Sectional Marker Surveys
• Effects of Randomness of Risk Factors on the HIV Epidemic in Homosexual Populations

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