The equation below represents the infected class I(t) with t be- ing the time measured in days. is the infection rate and is the treatment rate.

I =I(1000I)I.

Answer the following:

(a) What is the limit of I(t) if =0.005 and =7?

(b) What is the limit of I(t) id =0.005 and =2?

(c) If = 0.005, = 2 and, initially, there are 10 people infected, how many infected people there are after 3 days, i.e. I(3)?