Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus

C. Castillo-Chavez; K. Cooke; W. Huang; S. A. Levin

doi:10.1016/0893-9659(89)90080-3

Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus

C. Castillo-Chavez, K. Cooke, W. Huang, S. A. Levin

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

50 Scopus citations

Abstract

In this note, we report on the formulation and mathematical analysis of single and multiple group models for the spread of the human immuno-deficiency virus (HIV), which is the etiological agent for the acquired immunodeficiency syndrome (AIDS). Results on the robustness of a single group model are stated for specific and arbitrary survivorship functions. In addition, we provide results that show that multiple group models can have multiple endemic equilibria.

Original language	English (US)
Pages (from-to)	327-331
Number of pages	5
Journal	Applied Mathematics Letters
Volume	2
Issue number	4
DOIs	https://doi.org/10.1016/0893-9659(89)90080-3
State	Published - 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics

Access to Document

10.1016/0893-9659(89)90080-3

Cite this

@article{02c7c15b0c7f4710950c209447af1d58,

title = "Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus",

abstract = "In this note, we report on the formulation and mathematical analysis of single and multiple group models for the spread of the human immuno-deficiency virus (HIV), which is the etiological agent for the acquired immunodeficiency syndrome (AIDS). Results on the robustness of a single group model are stated for specific and arbitrary survivorship functions. In addition, we provide results that show that multiple group models can have multiple endemic equilibria.",

author = "C. Castillo-Chavez and K. Cooke and W. Huang and Levin, {S. A.}",

note = "Funding Information: This work has been partially supported by NSF grants DMS-8406472 to Simon A. Levin, and DMS-8603450 and 8807478 to Kenneth L. Cooke. Carlos Castillo-Chavez{\textquoteright} research has been partially supported by The Center for Applied Mathematics, the Office of the Provost at Cornell University, a Ford Foundation Postdoctoral Fellowship for Minorities, and Hatch Project NYC 151409, USDA.",

year = "1989",

doi = "10.1016/0893-9659(89)90080-3",

language = "English (US)",

volume = "2",

pages = "327--331",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Limited",

number = "4",

}

TY - JOUR

T1 - Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus

AU - Castillo-Chavez, C.

AU - Cooke, K.

AU - Huang, W.

AU - Levin, S. A.

N1 - Funding Information: This work has been partially supported by NSF grants DMS-8406472 to Simon A. Levin, and DMS-8603450 and 8807478 to Kenneth L. Cooke. Carlos Castillo-Chavez’ research has been partially supported by The Center for Applied Mathematics, the Office of the Provost at Cornell University, a Ford Foundation Postdoctoral Fellowship for Minorities, and Hatch Project NYC 151409, USDA.

PY - 1989

Y1 - 1989

N2 - In this note, we report on the formulation and mathematical analysis of single and multiple group models for the spread of the human immuno-deficiency virus (HIV), which is the etiological agent for the acquired immunodeficiency syndrome (AIDS). Results on the robustness of a single group model are stated for specific and arbitrary survivorship functions. In addition, we provide results that show that multiple group models can have multiple endemic equilibria.

AB - In this note, we report on the formulation and mathematical analysis of single and multiple group models for the spread of the human immuno-deficiency virus (HIV), which is the etiological agent for the acquired immunodeficiency syndrome (AIDS). Results on the robustness of a single group model are stated for specific and arbitrary survivorship functions. In addition, we provide results that show that multiple group models can have multiple endemic equilibria.

UR - http://www.scopus.com/inward/record.url?scp=0013609875&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013609875&partnerID=8YFLogxK

U2 - 10.1016/0893-9659(89)90080-3

DO - 10.1016/0893-9659(89)90080-3

M3 - Article

AN - SCOPUS:0013609875

SN - 0893-9659

VL - 2

SP - 327

EP - 331

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

ER -

Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this