Question: Analyze the stability of the disease model when = = 1, the point where the bifurcation occurs in Exercise 42. Right at a
Analyze the stability of the disease model when α = μ = 1, the point where the bifurcation occurs in Exercise 42.
Right at a bifurcation point, the stability theorem fails because the slope of the rate-of-change function at the equilibrium is exactly zero. In each of the following cases, check that the stability theorem fails, and then draw a phase-line diagram to find the stability.
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