Consider a population xt with per capita production of

After writing the discrete-time dynamical system, compute the following for the given values of the parameter r.
a. Find the equilibria.
b. Graph the updating function.
c. Indicate which equilibria are stable and which are unstable, and check with the Slope Criterion for stability.
d. Describe in words how the population would behave.
r = 2.5

Transcribed Image Text:

1.0+xi