An epidemic model with a time delay in transmission

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13 Citations (Scopus)


We study a mathematical model which was originally suggested by Greenhalgh and Das and takes into account the delay in the recruitment of infected persons. The stability of the equilibria are also discussed. In addition, we show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise by Hopf bifurcation.

Original languageEnglish
Pages (from-to)193-203
Number of pages11
JournalApplications of Mathematics
Issue number3
Publication statusPublished - 2003


  • differential equations
  • epidemic model
  • equilibrium analysis
  • Hopf bifurcation
  • time delay

ASJC Scopus subject areas

  • Applied Mathematics

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