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

A. B. Gumel; P. N. Shivakumar; B. M. Sahai

doi:10.1016/S0362-546X(01)00309-1

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

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

Research output: Contribution to journal › Conference article › peer-review

42 Scopus citations

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 language	English (US)
Pages (from-to)	1773-1783
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(01)00309-1
State	Published - Aug 1 2001
Externally published	Yes
Event	3rd World Congress of Nonlinear Analysts - Catania, Sicily, Italy Duration: Jul 19 2000 → Jul 26 2000

Keywords

CD4 T cells
Finite-difference
Replication
Stability

ASJC Scopus subject areas

Analysis
Applied Mathematics

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

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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.",

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AU - Gumel, A. B.

AU - Shivakumar, P. N.

AU - Sahai, B. M.

PY - 2001/8/1

Y1 - 2001/8/1

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

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

M3 - Conference article

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SN - 0362-546X

VL - 47

SP - 1773

EP - 1783

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

T2 - 3rd World Congress of Nonlinear Analysts

Y2 - 19 July 2000 through 26 July 2000

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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