In: Advanced Math
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.)