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In: Advanced Math

Sec 2.2:  Analyze the DE dx/dt = x(2-x) - h, where h is the rate of harvesting....

Sec 2.2:  Analyze the DE dx/dt = x(2-x) - h, where h is the rate of harvesting.   For each h>0, what are the critical points of the DE?   Which of them are stable?   What is the bifurcation point?   Draw a bifurcation diagram indicating which equilibrium points are stable and which are unstable.  (Use a phase line diagram to aid in your analysis.)

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