The discrete-time dynamical system bt+1 = 2.0bt with b0 = 1.0.
The following steps are used to build a cobweb diagram. Follow them for the given discrete time dynamical system based on bacterial populations.
a. Graph the updating function.
b. Use your graph of the updating function to find the point (b0, b1).
c. Reflect it off the diagonal to find the point (b1, b1).
d. Use the graph of the updating function to find (b1, b2).
e. Reflect off the diagonal to find the point (b2, b2).
f. Use the graph of the updating function to find (b2, b3).