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

Access to Document

10.1016/S0895-7177(00)00127-8

Cite this

@article{0f4043be877a4ec19fe2940927b7b5e2,

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

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.",

keywords = "AIDS epidemic, Diffusions with interacting drifts, Probability metrics, Rate of convergence",

author = "Haynatzka, \{V. R.\} and J. Gani and Rachev, \{S. T.\}",

year = "2000",

month = jul,

doi = "10.1016/S0895-7177(00)00127-8",

language = "English",

volume = "32",

pages = "169--180",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Ltd.",

number = "1-2",

}

TY - JOUR

T1 - The spread of AIDS among interactive transmission groups

AU - Haynatzka, V. R.

AU - Gani, J.

AU - Rachev, S. T.

PY - 2000/7

Y1 - 2000/7

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

UR - https://www.scopus.com/pages/publications/0034234189

U2 - 10.1016/S0895-7177(00)00127-8

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

M3 - Article

SN - 0895-7177

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

Access to Document

Other files and links

Fingerprint

Cite this