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) |
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Pages (from-to) | 23-27 |
Number of pages | 5 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 6 |
Issue number | 1 |
DOIs | |
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