The spread of AIDS among interactive transmission groups

V. R. Haynatzka; J. Gani; S. T. Rachev

doi:10.1016/S0895-7177(00)00127-8

The spread of AIDS among interactive transmission groups

V. R. Haynatzka^*, J. Gani, S. T. Rachev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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: (i) homosexual/bisexual men, (ii) blood transfusion recipients, (iii) intravenous drug users, or (iv) heterosexuals. Our model consists of a system of 4N 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.). (C) 2000 Elsevier Science Ltd.

Original language	English
Pages (from-to)	169-180
Number of pages	12
Journal	Mathematical and Computer Modelling
Volume	32
Issue number	1-2
DOIs	https://doi.org/10.1016/S0895-7177(00)00127-8
Publication status	Published - Jul 2000

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title = "The spread of AIDS among interactive transmission groups",

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T1 - The spread of AIDS among interactive transmission groups

AU - Haynatzka, V. R.

AU - Gani, J.

AU - Rachev, S. T.

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N2 - 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: (i) homosexual/bisexual men, (ii) blood transfusion recipients, (iii) intravenous drug users, or (iv) heterosexuals. Our model consists of a system of 4N 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.). (C) 2000 Elsevier Science Ltd.

AB - 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: (i) homosexual/bisexual men, (ii) blood transfusion recipients, (iii) intravenous drug users, or (iv) heterosexuals. Our model consists of a system of 4N 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.). (C) 2000 Elsevier Science Ltd.

KW - AIDS epidemic

KW - Diffusions with interacting drifts

KW - Probability metrics

KW - Rate of convergence

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DO - 10.1016/S0895-7177(00)00127-8

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VL - 32

SP - 169

EP - 180

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 1-2

ER -

The spread of AIDS among interactive transmission groups

Abstract

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