HIV control in vivo: Dynamical analysis

A. B. Gumel; S. M. Moghadas

doi:10.1016/S1007-5704(03)00003-0

HIV control in vivo: Dynamical analysis

A. B. Gumel, S. M. Moghadas

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

6 Scopus citations

Abstract

A deterministic model for the immunological and therapeutic control of human immunodeficiency virus (HIV) in vivo is studied qualitatively. In addition to analyzing the local stability of the equilibria, the global stability of the infection-free equilibrium is established. The optimal efficacy level of anti-retroviral therapy needed to eradicate HIV from the body of an HIV-infected individual is obtained.

Original language	English (US)
Pages (from-to)	561-568
Number of pages	8
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	9
Issue number	5
DOIs	https://doi.org/10.1016/S1007-5704(03)00003-0
State	Published - Oct 2004
Externally published	Yes

Keywords

Anti-retroviral therapy
Basic reproductive number
Equilibria
HIV
Stability

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Applied Mathematics

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10.1016/S1007-5704(03)00003-0

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title = "HIV control in vivo: Dynamical analysis",

abstract = "A deterministic model for the immunological and therapeutic control of human immunodeficiency virus (HIV) in vivo is studied qualitatively. In addition to analyzing the local stability of the equilibria, the global stability of the infection-free equilibrium is established. The optimal efficacy level of anti-retroviral therapy needed to eradicate HIV from the body of an HIV-infected individual is obtained.",

keywords = "Anti-retroviral therapy, Basic reproductive number, Equilibria, HIV, Stability",

author = "Gumel, {A. B.} and Moghadas, {S. M.}",

note = "Funding Information: This work was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC). The authors are grateful to the anonymous referees for their useful comments which have improved the paper. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

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doi = "10.1016/S1007-5704(03)00003-0",

language = "English (US)",

volume = "9",

pages = "561--568",

journal = "Communications in Nonlinear Science and Numerical Simulation",

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TY - JOUR

T1 - HIV control in vivo

T2 - Dynamical analysis

AU - Gumel, A. B.

AU - Moghadas, S. M.

N1 - Funding Information: This work was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC). The authors are grateful to the anonymous referees for their useful comments which have improved the paper. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2004/10

Y1 - 2004/10

N2 - A deterministic model for the immunological and therapeutic control of human immunodeficiency virus (HIV) in vivo is studied qualitatively. In addition to analyzing the local stability of the equilibria, the global stability of the infection-free equilibrium is established. The optimal efficacy level of anti-retroviral therapy needed to eradicate HIV from the body of an HIV-infected individual is obtained.

AB - A deterministic model for the immunological and therapeutic control of human immunodeficiency virus (HIV) in vivo is studied qualitatively. In addition to analyzing the local stability of the equilibria, the global stability of the infection-free equilibrium is established. The optimal efficacy level of anti-retroviral therapy needed to eradicate HIV from the body of an HIV-infected individual is obtained.

KW - Anti-retroviral therapy

KW - Basic reproductive number

KW - Equilibria

KW - HIV

KW - Stability

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U2 - 10.1016/S1007-5704(03)00003-0

DO - 10.1016/S1007-5704(03)00003-0

M3 - Article

AN - SCOPUS:2442428141

SN - 1007-5704

VL - 9

SP - 561

EP - 568

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 5

ER -

HIV control in vivo: Dynamical analysis

Abstract

Keywords

ASJC Scopus subject areas

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