Consider the population model with harvesting In this model, the harvesting ra...

Consider the population model with harvesting

In this model, the harvesting rate is proportional to the size of the population. The parameter a gives the fraction of the population harvested per unit of time.

(a) Find the equilibrium points as a function of α.

(b) Suppose we increase α in small steps, allowing the population to reach equilibrium after each step. How does the population change as α increases?

(c) Compare this "population dependent" harvesting model to the constant harvesting model of Exercise 20.

Reference: exercise 20