Drug resistance in an age-of-infection model

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 m...

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Bibliographic Details
Published in:Mathematical population studies Vol. 24; no. 1; pp. 64 - 78
Main Authors: Brauer, Fred, Xiao, Yanyu, Moghadas, Seyed M.
Format: Journal Article
Language:English
Published: Abingdon Routledge 02-01-2017
Taylor & Francis Ltd
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Summary: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.
ISSN:0889-8480
1547-724X
DOI:10.1080/08898480.2015.1054216