Hello. This is a sample question for a test I have coming up on Monday.
It being the weekend, my prof doesn't have office hours at this point.
Consider the logistic model of population dynamics xn+1 = xn + Rxn(1 - xn/K),
where R is the growth rate, K is the carrying capacity, and xn is the population size at time n. Given fixed K, find the values of the growth rate R for which the population becomes extinct.
I would normally try to offer what I think I should do, but I am really clueless, so even a simple suggestion could put me in the right direction. Thanks for any help.