The number of bacteria in another lab follows the discrete-time dynamical system

where t is measured in hours and bt in millions of bacteria.
a. Graph the updating function. For what values of bt does it make sense?
b. Find the equilibrium.
c. Cobweb starting from b0 = 0.4 million bacteria. What do you think happens to this population?

Transcribed Image Text:

2.0b bi s 1.0 +1 0.5b 1.0) +2.0 b1.0