Assignment 10 – Logistics of Zombies
Due Date: November 8, 2011
1. Use Logistic.R to see what happens with different growth rates of zombie populations
(r = .4, 1.75, 2.86, 3.33, 3.99). For each value of r, save the figure you get using Logistic.R
as a jpeg and include it in your report with the answers to the following questions. Your
assignment will include 5 figures and answers to these questions for each value of r!!!
a. What are the equilibrium points?
b. What are the values of the derivative at these points?
c. Are the equilibria stable or unstable?
d. Does the solution oscillate?
e. What happens over time to the fraction of zombies?
EXTRA CREDIT
Find a value of r for which there is a cycle of oscillations between 4 values. Find a value of r for
which there is a cycle of oscillations between 8 values.