EXERCISES 1. The following models contain a parameter h. For each model: (a) find the equilibria in terms of h and deter

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Exercises 1 The Following Models Contain A Parameter H For Each Model A Find The Equilibria In Terms Of H And Deter 1 (22.1 KiB) Viewed 37 times

EXERCISES 1. The following models contain a parameter h. For each model: (a) find the equilibria in terms of h and determine their stability using Theorem 1.32, to the extent possible. (b) Construct a bifurcation diagram showing how the equilibria depend upon h; label the branches of the curves in the diagram as unstable or stable. a) x'=h-x³. b) r' = (x - 1)(x - h). d) x'= (1-x)(x² - h). e) a' = (x - √h)(3-ha).