Consider an exponential growth model with harvesting where P is the p...

Consider an exponential growth model with harvesting

where P is the population, k > 0 is the growth-rate parameter, and C ≥ 0 is the harvest rate.

(a) Does a bifurcation occur as the parameter C varies?

(b) Describe the long-term behavior of the population P(t) if P(0) > 0.