Sequences -- Equilibrium Points -- Stretch Your Understanding

1. Find a general formula for the equilibrium points of a logistic model of the form

    p(n + 1) = a [1 - .001 p(n)] p(n)
   
   

2. Find a general formula for the equilibrium points of a logistic model of the form

    p(n + 1) = a [1 - b p(n)] p(n)
   
   

   where b is a constant.

3. Describe the way in which the equilibrium points depend on the values of the constants a and b.