The nonlinear discrete-time dynamical system

How does this differ from the model in Exercise 31? Why is the equilibrium smaller?
The model describing the dynamics of the concentration of medication in the bloodstream,
Mt + 1 = 0.5Mt + 1.0,
becomes nonlinear if the fraction of medication used is a function of the concentration. In each case, use the Slope Criterion for stability to check the stability of the equilibrium.

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