Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2

A. B. Gumel

doi:10.1016/S1007-5704(01)90024-3

Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2

A. B. Gumel

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

Abstract

A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.

Original language	English (US)
Pages (from-to)	23-27
Number of pages	5
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	6
Issue number	1
DOIs	https://doi.org/10.1016/S1007-5704(01)90024-3
State	Published - 2001
Externally published	Yes

Keywords

Finite-difference
HSV-2
Initial-value problem
Numerical instabilities
Positivity

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Applied Mathematics

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10.1016/S1007-5704(01)90024-3

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title = "Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2",

abstract = "A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.",

keywords = "Finite-difference, HSV-2, Initial-value problem, Numerical instabilities, Positivity",

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

note = "Funding Information: The author acknowledges, with thanks, the support Research Council of Canada (NSERC).",

year = "2001",

doi = "10.1016/S1007-5704(01)90024-3",

language = "English (US)",

volume = "6",

pages = "23--27",

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T1 - Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2

AU - Gumel, A. B.

N1 - Funding Information: The author acknowledges, with thanks, the support Research Council of Canada (NSERC).

PY - 2001

Y1 - 2001

N2 - A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.

AB - A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.

KW - Finite-difference

KW - HSV-2

KW - Initial-value problem

KW - Numerical instabilities

KW - Positivity

UR - https://www.scopus.com/pages/publications/16844375197

UR - https://www.scopus.com/pages/publications/16844375197#tab=citedBy

U2 - 10.1016/S1007-5704(01)90024-3

DO - 10.1016/S1007-5704(01)90024-3

M3 - Article

AN - SCOPUS:16844375197

SN - 1007-5704

VL - 6

SP - 23

EP - 27

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 1

ER -

Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2

Abstract

Keywords

ASJC Scopus subject areas

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