First, review the discussion of stability types of fixed points in Section 5.7 of the textbook.
Then, linearize the predator prey map that we have studied in class around the point (K,0). Using the parameter values a=0.2, b=0.05, c=.1, d=0.01, and K=100, compute the eigenvalues and eigenvectors using Python. What type of fixed point is this (be specific, not just stable vs. unstable, but what type of stable or unstable)?
In the text window, first describe the fixed point, then include Python input and output that displays the eigenvalues and eigenvectors.