I hope I didn't make an error in my calculations, but I got a charpoly of:
If you set the parameters accordingly, when , then
Given:
M = ([0, f_2, f_3], [s_1, 0, 0], [0, s_2, 0])
(Note: [0, f_2, f_3] is the 1st row)
1.) Determine the characterist equation.
2.) Given f_2 = 2, f_3 = 5, s_2 = 0.8, how large must s_1 be to get L >= 1 (L is lambda)
3.) Given f_2 = 2, f_3 = 5, s_1 = 0.2, s_2 = 0.8, determine L with three-decimal-digit accuracy
4.) What's the stable population ratios for the preceding parameter values