Exercise 2

Suppose that an Ecology student is interested in a particular species confined to a given regions. From a previous study the growth rate of the population is known to be approximately 8%. The student estimates that the population is initially 960 individuals. Three weeks later the population is estimated to be approximately 310 individuals. What is the carrying capacity for the population?

Hint:
Solve the Logistic Equation with the initial condition given, but in terms of the parameter s and the known value of a. Then, use the additional information to determine the parameter s.

Up to General Solution in terms of the parameters a and s.