model. The reason for this is we often expect the system we are studying to have been undisturbed long enough for transients to have died out. Often (but not always) the long-term behavior is independent of the exact initial population. In the model Pt+1 = Pt(1 + .7(1 − Pt/10)), the long-term behavior for most initial values was for the population to stay very close to K = 10. Note that if Pt = 10 exactly, then Pt+1 = 10 as well and the population never changes. Thus, Pt = 10
