A stochastic model of the HIV epidemic involving both sexual contact and IV drug use

Authors:
W. Y. Tan;S. C. Tang
Affiliations:
Department of Mathematical Sciences, Memphis State University Memphis, TN 38152 USA;Department of Mathematical Sciences, Memphis State University Memphis, TN 38152 USA
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1993

Citing 5
Cited 6

Mixing framework for social/sexual behavior

Mathematical and statistical approaches to AIDS epidemiology
Structured mixing: heterogeneous mixing by the definition of activity groups

Mathematical and statistical approaches to AIDS epidemiology
Selected contact within structured mixing with an application to HIV transmission risk from oral and anal sex

Mathematical and statistical approaches to AIDS epidemiology
Stochastic models of HIV epidemic in homosexual populations-the effects of mixing patterns

Mathematical and Computer Modelling: An International Journal
Some general stochastic models for the spread of AIDS and some simulation results

Mathematical and Computer Modelling: An International Journal

The stochastic dance of early HIV infection

Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
A competition model of HIV with recombination effect

Mathematical and Computer Modelling: An International Journal
Modelling the HIV epidemic: A state-space approach

Mathematical and Computer Modelling: An International Journal
A general Markov model of the HIV epidemic in populations involving both sexual contact and IV drug use

Mathematical and Computer Modelling: An International Journal
A stochastic model of the HIV epidemic for heterosexual transmission involving married couples and prostitutes: I. The probabilities of HIV transmission and pair formation

Mathematical and Computer Modelling: An International Journal
A stochastic model for the HIV epidemic in homosexual populations involving age and race

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

In this paper we develop a stochastic model for the HIV epidemic involving both sexual contact and IV drug use by taking into account the dynamic of the HIV epidemic. The model is formulated in terms of the chain multi-nomial model which provides a mechanism by means of which one may derive the moments of the numbers of S people, L people, I people and A people. By using the model we show by Monte Carlo studies that the randomness of the number of different partners per unit time seem to have little effects on the HIV epidemic if the expected number of different partners per unit time is not very small (say = 0.5). However, the numerical results indicate clearly that in almost all the cases the results of the deterministic model provide poor approximation to the corresponding expected numbers of the stochastic model.