Drug resistance in an age-of-infection model

Fred Brauer, Yanyu Xiao, Seyed M. Moghadas

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume24
Issue number1
DOIs
StatePublished - Jan 2 2017
Externally publishedYes

Fingerprint

drug resistance
Drug Resistance
drug
drugs
Infection
infection
Pharmaceutical Preparations
Reproduction
Disease
drug therapy
pathogen
pathogens
timescale
Population
Values

Keywords

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

ASJC Scopus subject areas

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

Cite this

Drug resistance in an age-of-infection model. / Brauer, Fred; Xiao, Yanyu; Moghadas, Seyed M.

In: Mathematical Population Studies, Vol. 24, No. 1, 02.01.2017, p. 64-78.

Research output: Contribution to journalArticle

Brauer, Fred ; Xiao, Yanyu ; Moghadas, Seyed M. / Drug resistance in an age-of-infection model. In: Mathematical Population Studies. 2017 ; Vol. 24, No. 1. pp. 64-78.
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