Drug resistance in an age-of-infection model. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Brauer, Fred; Xiao, Yanyu; Moghadas, Seyed M.
• Is Part Of: Mathematical population studies. Volume 24:Issue 1(2017)
• Page Start: 64
• Page End: 78
• Publication Date: 2017-01-02
• Subjects: Drug-resistance -- epidemic modeling -- equilibria -- pathogen evolution -- reproduction number; Demography -- Mathematical models -- Periodicals; Demography -- Mathematics -- Periodicals; 304.60724
• DOI: 10.1080/08898480.2015.1054216
• Languages: English
• ISSNs: 0889-8480

Abstract

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.