2. For each of the following models: (a) plot the growth rate f(x) versus a and sketch the phase line diagram; (b) find

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2 For Each Of The Following Models A Plot The Growth Rate F X Versus A And Sketch The Phase Line Diagram B Find 1 (26.08 KiB) Viewed 32 times

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.