Evolution: 4 Forces Mutation Migration (genes moving via many processes) Natural selection Genetic drift: random sampling, more important in small populations Natural selection model Let S = population of susceptible bacteria Let R = population of resistant bacteria What if there are 2 environments: With antibiotics Without antibiotics Resistance management: the R's will lose if exposed only rarely to antibiotics Let q = fraction of time exposed to antibiotics Another model Let U=uninfected hosts, S = infected by sensitive bacteria , R=infected by resistant Worry: Hosts aren't so simple Hope: this doesn't matter Worry: Who's treated, when? Hope: get insight from simple case Force of infection: Will R increase when it's rare? Find U if R=0 (set (This is an S only world)