Demographic change and persistence of HIV/AIDS in a heterogeneous population

Stavros Busenberg; Kenneth Cooke; Horst Thieme

doi:10.1137/0151052

Demographic change and persistence of HIV/AIDS in a heterogeneous population

Stavros Busenberg, Kenneth Cooke, Horst Thieme

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

27 Scopus citations

Abstract

A model of the transmission of the HIV virus that takes demographic change into account is derived and analyzed. Thresholds for the persistence of the disease in increasing or decreasing populations are derived, and the global behavior of the solutions is obtained. Two diverse notions of disease persistence are shown to exist in populations that are undergoing demographic change. The effects of the disease on the population demographics are analyzed and discussed.

Original language	English (US)
Pages (from-to)	1030-1052
Number of pages	23
Journal	SIAM Journal on Applied Mathematics
Volume	51
Issue number	4
DOIs	https://doi.org/10.1137/0151052
State	Published - Jan 1 1991
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1137/0151052

Cite this

@article{234281c4a7f442cd8acd335bdedd7c2b,

title = "Demographic change and persistence of HIV/AIDS in a heterogeneous population",

abstract = "A model of the transmission of the HIV virus that takes demographic change into account is derived and analyzed. Thresholds for the persistence of the disease in increasing or decreasing populations are derived, and the global behavior of the solutions is obtained. Two diverse notions of disease persistence are shown to exist in populations that are undergoing demographic change. The effects of the disease on the population demographics are analyzed and discussed.",

author = "Stavros Busenberg and Kenneth Cooke and Horst Thieme",

year = "1991",

month = jan,

day = "1",

doi = "10.1137/0151052",

language = "English (US)",

volume = "51",

pages = "1030--1052",

journal = "SIAM Journal on Applied Mathematics",

issn = "0036-1399",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "4",

}

TY - JOUR

T1 - Demographic change and persistence of HIV/AIDS in a heterogeneous population

AU - Busenberg, Stavros

AU - Cooke, Kenneth

AU - Thieme, Horst

PY - 1991/1/1

Y1 - 1991/1/1

N2 - A model of the transmission of the HIV virus that takes demographic change into account is derived and analyzed. Thresholds for the persistence of the disease in increasing or decreasing populations are derived, and the global behavior of the solutions is obtained. Two diverse notions of disease persistence are shown to exist in populations that are undergoing demographic change. The effects of the disease on the population demographics are analyzed and discussed.

AB - A model of the transmission of the HIV virus that takes demographic change into account is derived and analyzed. Thresholds for the persistence of the disease in increasing or decreasing populations are derived, and the global behavior of the solutions is obtained. Two diverse notions of disease persistence are shown to exist in populations that are undergoing demographic change. The effects of the disease on the population demographics are analyzed and discussed.

UR - http://www.scopus.com/inward/record.url?scp=0026203716&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026203716&partnerID=8YFLogxK

U2 - 10.1137/0151052

DO - 10.1137/0151052

M3 - Article

AN - SCOPUS:0026203716

SN - 0036-1399

VL - 51

SP - 1030

EP - 1052

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 4

ER -

Demographic change and persistence of HIV/AIDS in a heterogeneous population

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this