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

Authors:
A. B. Gumel
Affiliations:
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 4
Cited 2

Numerical methods for ordinary differential systems: the initial value problem

Numerical methods for ordinary differential systems: the initial value problem
Mathematical models and the design of public health policy: HIV and antiviral therapy

SIAM Review
Numerical and bifurcation analyses for a population model of HIV chemotherapy

Mathematics and Computers in Simulation
Designing HIV Vaccination Policies: Subtypes and Cross-Immunity

Interfaces

Nonstandard numerical methods for a mathematical model for influenza disease

Mathematics and Computers in Simulation
Matrix nonstandard numerical schemes for epidemic models

WSEAS Transactions on Mathematics

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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.