A new design of stochastic partnership models for epidemics of sexually transmitted diseases with stages

DOI10.1016/S0025-5564(98)10062-7zbMath0934.92030WikidataQ52217784 ScholiaQ52217784MaRDI QIDQ1807240

Candace K. Sleeman, Charles J. Mode

Publication date: 10 April 2000

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

zbMATH Keywords

Monte Carlo simulationssemi-Markov processesHIV/AIDSheterosexualpartnershipscomputer intensive methodsstochastic evolutionary equationsembedded deterministic modelsextra-marital contacts

Mathematics Subject Classification ID

Epidemiology (92D30) Monte Carlo methods (65C05) Markov renewal processes, semi-Markov processes (60K15)

Related Items (4)

Stochastic models for the spread of HIV in a mobile heterosexual population ⋮ A computer exploration of some properties of nonlinear stochastic partnership models for sexually transmitted diseases with stages ⋮ Stability of Hopf bifurcation of a delayed SIRS epidemic model with stage structure ⋮ Determination of threshold conditions for a non-linear stochastic partnership model for heterosexually transmitted diseases with stages

Cites Work

• Epidemiological models for sexually transmitted diseases
• Toward a unified theory of sexual mixing and pair formation
• A stochastic model for the development of an AIDS epidemic in a heterosexual population
• The chain multinomial models of the HIV epidemiology in homosexual populations
• A stochastic model of the HIV epidemic and the HIV infection distribution in a homosexual population
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