2. For each of the following models: (a) plot the growth rate f(x) versus a and sketch the phase line diagram; (b) find
Posted: Mon Jul 11, 2022 12:15 pm
2. For each of the following models: (a) plot the growth rate f(x) versus a and sketch the phase line diagram; (b) find the equilibria analytically and classify them according to their stability using Theorem 1.32; (c) draw a few key time series plots, z = 2(t) in the ta plane. a) x² = x²(2-x). b) x² = x(4- x)(5 - x)². c) x'= (x - 1)e-2x. d) x' = x(x-8)³. e) r' = 2r-7. f) a = 2x(1x) - x. g) x = (4x) (2x)³. h) x = x²(5-x)²(x - 10). i) x² = −(1+x)(x² - 4)). j) = coshr - 1.