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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 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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.). |
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ISSN: | 0895-7177 1872-9479 |
DOI: | 10.1016/S0895-7177(00)00127-8 |