Question: Consider the following difference equation for populations called the nonlinear logistic model. T = x(r ) (a) (5pt) Find the equilibria. Here 7 > 0

Consider the following difference equation for populations called the nonlinear logistic model. T = x(r ) (a) (5pt) Find the equilibria. Here 7 > 0 is an unknown parameter (i.e., is a constant). (b) (5pt) Determine the values of r for which each equilibrium is stable using the Stability Criterion. (c) (5pt) If r = 2, sketch the graph and use cobwebbing to determine the stability of the equilibria

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