Suppose a population of bacteria doubles every hour, but that 1.0 x 106 individuals are removed before reproduction to be converted into valuable biological by-products. Suppose the population begins with b0 = 3.0 x 106 bacteria.
a. Find the population after 1, 2, and 3 hours.
b. Write the discrete-time dynamical system.
c. How does the population compare with that in the previous problem? Why is it doing worse?
Follow the steps to derive discrete-time dynamical systems describing the above contrasting situations.