Question: The differential equation dx/dt = 1/10x(10 -x) - h models a logistic population with harvesting at rate h. Determine (as in Example 6) the dependence

The differential equation dx/dt = 1/10x(10 -x) - h models a logistic population with harvesting at rate h. Determine (as in Example 6) the dependence of the number of critical points on the parameter h, and then construct a bifurcation diagram like Fig. 2.2.12.

C (c-2) =4-h 4 FIGURE 2.2.12. The parabola (c-2) = 4-h is

C (c-2) =4-h 4 FIGURE 2.2.12. The parabola (c-2) = 4-h is the bifurcation diagram for the differential equation x' = x(4-x) - h. h

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