Abstract
A first-order, unconditionally-stable, finite-difference scheme is developed for the numerical solution of the SIR model. It is seen that numerical simulations using the method reflect the long-term behaviour of the continuous-time system accurately. The introduction of seasonal variation into the SIR model leads to periodic and chaotic dynamics of epidemics which are present in the numerical simulations.
Original language | English (US) |
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Pages (from-to) | 611-625 |
Number of pages | 15 |
Journal | Applied Mathematics and Computation |
Volume | 146 |
Issue number | 2-3 |
DOIs | |
State | Published - Dec 31 2003 |
Externally published | Yes |
Keywords
- Finite differences
- SIR model
- Unconditional convergence
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics