Pielou’s logistic equation. Pielou referred to the following equation as the discrete logistic equation: (a) Find the positive equilibrium point. (b) Demonstrate, using the cobweb diagram, that the...

Pielou’s logistic equation. Pielou referred to the following equation as the discrete logistic equation:

(a) Find the positive equilibrium point.

(b) Demonstrate, using the cobweb diagram, that the positive equilibrium point is asymptotically stable for α = 2 and β = 1.