Solve the problem.Consider the Ricker Model, given by the following function, where r is a positive constant,
. Use the theorem on the Stability of Equilibrium Points to determine the stability of the equilibrium points 0 and 1 and how they depend on r.
A. x = 0 is stable; x = 1 is stable if 0 < r < 2 and unstable if r > 2.
B. x = 0 is unstable; x = 1 is stable if 0 < r < 2 and unstable if r > 2.
C. x = 0 is unstable; x = 1 is unstable if 0 < r < 2 and stable if r > 2.
D. x = 0 is stable; x = 1 is unstable if 0 < r < 2 and stable if r > 2.
Answer: B
Mathematics
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