Abstract
An implicitly-derived explicit non-standard finite-difference scheme will be constructed and used to solve a deterministic non-linear model for HIV transmission and control. The model monitors the populations of untreated susceptibles, vaccinated susceptibles (given prophylactic vaccines), untreated infecteds and treated infecteds as time (t) tends to infinity. Unlike the standard fourth-order Runge-Kutta method (RK4), which induces contrived numerical instabilities, the non-standard method will be seen to be free of numerical instabilities for all parameter values used in the numerical simulations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 91-98 |
| Number of pages | 8 |
| Journal | Journal of Computational Methods in Sciences and Engineering |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2003 |
| Externally published | Yes |
Keywords
- HIV mathematical models
- Nonstandard finite difference schemes
- numerical integration
ASJC Scopus subject areas
- General Engineering
- Computer Science Applications
- Computational Mathematics