|TITLE:||An epidemic treatment model with drug resistance|
|SPEAKER:||Fred Brauer (Wisconsin-Madison / University of British Columbia)|
|DATE:||Vendredi, 13 Février 2009|
We consider a simple model for an epidemic with a drug-sensitive and a drug-resistant strain, with the possibility of drug-sensitive cases developing resistance. We show that if the reproduction number for the sensitive strain, which is a decreasing function of the treatment rate, becomes less than the reproduction number of the resistant strain, then there is a treatment rate beyond which increasing the treatment rate leads to more cases of disease.
About the speaker Fred Brauer is a professor emeritus at the University of Wisconsin - Madison, where he taught from 1960 to 1999, and has been an honorary professor at the University of British Columbia since 1997. He is the author or co-author of over 120 papers on differential equations, mathematical population biology, and mathematical epidemiology as well as 11 books including undergraduate texts and a book on models in population biology and epidemiology.