Drug resistance in an age-of-infection model

Fred Brauer, Yanyu Xiao and Seyed M. Moghadas

Mathematical Population Studies, 2017, vol. 24, issue 1, 64-78

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.

Date: 2017
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DOI: 10.1080/08898480.2015.1054216

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