An unconditionally convergent finite-difference scheme for the SIR model

W. Piyawong, E. H. Twizell, A. B. Gumel

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


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 languageEnglish (US)
Pages (from-to)611-625
Number of pages15
JournalApplied Mathematics and Computation
Issue number2-3
StatePublished - Dec 31 2003
Externally publishedYes


  • Finite differences
  • SIR model
  • Unconditional convergence

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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