Progression age enhanced backward bifurcation in an epidemic model with super-infection

Maia Martcheva, Horst Thieme

Research output: Contribution to journalArticlepeer-review

126 Scopus citations


We consider a model for a disease with a progressing and a quiescent exposed class and variable susceptibility to super-infection. The model exhibits backward bifurcations under certain conditions, which allow for both stable and unstable endemic states when the basic reproduction number is smaller than one.

Original languageEnglish (US)
Pages (from-to)385-424
Number of pages40
JournalJournal Of Mathematical Biology
Issue number5
StatePublished - May 1 2003


  • Alternating stability
  • Backward bifurcation
  • Break-point density
  • Dose-dependent latent period
  • Multiple endemic equilibria
  • Progression age structure
  • Progressive and quiescent latent stages
  • Super-infection
  • Threshold type disease activation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics


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