The spread of AIDS among interactive transmission groups

We consider the spread of an AIDS epidemic among N interacting communities (cities, say), each having at least one of the major four HIV transmission groups: 1. (i) homosexual/bisexual men, 2. (ii) blood transfusion recipients, 3. (iii) intravenous drug users, or 4. (iv) heterosexuals. Our model con...

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Published in:Mathematical and computer modelling 2000-07, Vol.32 (1), p.169-180
Main Authors: Haynatzka, V.R, Gani, J, Rachev, S.T
Format: Article
Language:English
Subjects:
AIDS epidemic
Diffusions with interacting drifts
Human immunodeficiency virus
Probability metrics
Rate of convergence
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description We consider the spread of an AIDS epidemic among N interacting communities (cities, say), each having at least one of the major four HIV transmission groups: 1. (i) homosexual/bisexual men, 2. (ii) blood transfusion recipients, 3. (iii) intravenous drug users, or 4. (iv) heterosexuals. Our model consists of a system of 4 N differential equations (d.e.s). We show that as N → ∞, the number of infectives in each community converges to the unique solution of a Liouville type stochastic differential equation (s.d.e.).
doi_str_mv 10.1016/S0895-7177(00)00127-8
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subjects AIDS epidemic
Diffusions with interacting drifts
Human immunodeficiency virus
Probability metrics
Rate of convergence
title The spread of AIDS among interactive transmission groups
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