Drug resistance in an age-of-infection model

Fred Brauer, Yanyu Xiao, Seyed M. Moghadas

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In the case of a disease spreading over a time-scale comparable to the average lifetime in a host population, when the infectiousness of individuals depends on the tine since the onset of infection and when infections involve both drug-sensitive and drug-resistant strains of a pathogen, resistance may develop during the treatment of drug-sensitive strains. If increasing the treatment rate reduces the reproduction number of the drug-sensitive strain to a value below the reproduction number of the drug-resistant strain, then the disease may persist at a boundary equilibrium where only drug-resistant infection is present.

Original languageEnglish (US)
Pages (from-to)64-78
Number of pages15
JournalMathematical population studies
Issue number1
StatePublished - Jan 2 2017


  • Drug-resistance
  • epidemic modeling
  • equilibria
  • pathogen evolution
  • reproduction number

ASJC Scopus subject areas

  • Demography
  • Geography, Planning and Development
  • Agricultural and Biological Sciences(all)


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