A mathematical model for the dynamics of HIV-1 during the typical course of infection

Abba Gumel, P. N. Shivakumar, B. M. Sahai

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

A mathematical model based upon critical factors for predicting the number of cell-free human immunodeficiency virus in the blood during typical course of infection is presented. The model exhibits two steady states, a trivial steady state and an endemically-infected steady state. A linearized stability analysis was carried out to determine the stability of these states.

Original languageEnglish (US)
Pages (from-to)1773-1783
Number of pages11
JournalNonlinear Analysis, Theory, Methods and Applications
Volume47
Issue number3
DOIs
StatePublished - Aug 2001
Externally publishedYes

Fingerprint

Infection
Mathematical Model
Mathematical models
Viruses
Blood
Virus
Stability Analysis
Trivial
Model-based
Cell
Model
Human

Keywords

  • CD4 T cells
  • Finite-difference
  • Replication
  • Stability

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)

Cite this

A mathematical model for the dynamics of HIV-1 during the typical course of infection. / Gumel, Abba; Shivakumar, P. N.; Sahai, B. M.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 47, No. 3, 08.2001, p. 1773-1783.

Research output: Contribution to journalArticle

@article{c7ca4c29e071495b94f24548d9e93e72,
title = "A mathematical model for the dynamics of HIV-1 during the typical course of infection",
abstract = "A mathematical model based upon critical factors for predicting the number of cell-free human immunodeficiency virus in the blood during typical course of infection is presented. The model exhibits two steady states, a trivial steady state and an endemically-infected steady state. A linearized stability analysis was carried out to determine the stability of these states.",
keywords = "CD4 T cells, Finite-difference, Replication, Stability",
author = "Abba Gumel and Shivakumar, {P. N.} and Sahai, {B. M.}",
year = "2001",
month = "8",
doi = "10.1016/S0362-546X(01)00309-1",
language = "English (US)",
volume = "47",
pages = "1773--1783",
journal = "Nonlinear Analysis, Theory, Methods and Applications",
issn = "0362-546X",
publisher = "Elsevier Limited",
number = "3",

}

TY - JOUR

T1 - A mathematical model for the dynamics of HIV-1 during the typical course of infection

AU - Gumel, Abba

AU - Shivakumar, P. N.

AU - Sahai, B. M.

PY - 2001/8

Y1 - 2001/8

N2 - A mathematical model based upon critical factors for predicting the number of cell-free human immunodeficiency virus in the blood during typical course of infection is presented. The model exhibits two steady states, a trivial steady state and an endemically-infected steady state. A linearized stability analysis was carried out to determine the stability of these states.

AB - A mathematical model based upon critical factors for predicting the number of cell-free human immunodeficiency virus in the blood during typical course of infection is presented. The model exhibits two steady states, a trivial steady state and an endemically-infected steady state. A linearized stability analysis was carried out to determine the stability of these states.

KW - CD4 T cells

KW - Finite-difference

KW - Replication

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=0035425119&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035425119&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(01)00309-1

DO - 10.1016/S0362-546X(01)00309-1

M3 - Article

AN - SCOPUS:0035425119

VL - 47

SP - 1773

EP - 1783

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 3

ER -