A competitive numerical method for a chemotherapy model of two HIV subtypes

A. B. Gumel

doi:10.1016/S0096-3003(01)00150-3

A competitive numerical method for a chemotherapy model of two HIV subtypes

A. B. Gumel

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

10 Scopus citations

Abstract

A competitive Gauss-Seidel-type finite-difference method is developed for the solution of a non-linear deterministic model associated with the transmission dynamics of two HIV subtypes in the presence of antiretroviral therapy. The model suggests the optimal level of drug therapy coverage necessary to eradicate the disease in a given population. Unlike the standard fourth-order Runge-Kutta method (RK4), which fails when certain parameter values and time-steps are used in the discretization of the model, the new implicit finite-difference method to be developed gives stable convergent numerical results for any time-step.

Original language	English (US)
Pages (from-to)	329-337
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	131
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(01)00150-3
State	Published - Sep 25 2002
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/S0096-3003(01)00150-3

Cite this

@article{c67923389d9048dd94f33dc938f2db38,

title = "A competitive numerical method for a chemotherapy model of two HIV subtypes",

abstract = "A competitive Gauss-Seidel-type finite-difference method is developed for the solution of a non-linear deterministic model associated with the transmission dynamics of two HIV subtypes in the presence of antiretroviral therapy. The model suggests the optimal level of drug therapy coverage necessary to eradicate the disease in a given population. Unlike the standard fourth-order Runge-Kutta method (RK4), which fails when certain parameter values and time-steps are used in the discretization of the model, the new implicit finite-difference method to be developed gives stable convergent numerical results for any time-step.",

author = "Gumel, {A. B.}",

note = "Funding Information: The author acknowledges, with thanks, the support of the Natural Sciences and Engineering Research Council of Canada (NSERC). Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

year = "2002",

month = sep,

day = "25",

doi = "10.1016/S0096-3003(01)00150-3",

language = "English (US)",

volume = "131",

pages = "329--337",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2-3",

}

TY - JOUR

T1 - A competitive numerical method for a chemotherapy model of two HIV subtypes

AU - Gumel, A. B.

N1 - Funding Information: The author acknowledges, with thanks, the support of the Natural Sciences and Engineering Research Council of Canada (NSERC). Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2002/9/25

Y1 - 2002/9/25

N2 - A competitive Gauss-Seidel-type finite-difference method is developed for the solution of a non-linear deterministic model associated with the transmission dynamics of two HIV subtypes in the presence of antiretroviral therapy. The model suggests the optimal level of drug therapy coverage necessary to eradicate the disease in a given population. Unlike the standard fourth-order Runge-Kutta method (RK4), which fails when certain parameter values and time-steps are used in the discretization of the model, the new implicit finite-difference method to be developed gives stable convergent numerical results for any time-step.

AB - A competitive Gauss-Seidel-type finite-difference method is developed for the solution of a non-linear deterministic model associated with the transmission dynamics of two HIV subtypes in the presence of antiretroviral therapy. The model suggests the optimal level of drug therapy coverage necessary to eradicate the disease in a given population. Unlike the standard fourth-order Runge-Kutta method (RK4), which fails when certain parameter values and time-steps are used in the discretization of the model, the new implicit finite-difference method to be developed gives stable convergent numerical results for any time-step.

UR - http://www.scopus.com/inward/record.url?scp=0037174279&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037174279&partnerID=8YFLogxK

U2 - 10.1016/S0096-3003(01)00150-3

DO - 10.1016/S0096-3003(01)00150-3

M3 - Article

AN - SCOPUS:0037174279

SN - 0096-3003

VL - 131

SP - 329

EP - 337

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

A competitive numerical method for a chemotherapy model of two HIV subtypes

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this