In: Advanced Math
For the following exercises, use the logistic growth model f(x) = 150/(1 + 8e-2x).
Find the carrying capacity.
The logistic model is represented as follows:
f(x) = c/(1 + ae-bx)
Here, c/(1 + a) is the initial value.
c is the carrying capacity.
b is the constant determined by the rate of growth.
Consider the following logistic growth model:
f(x) = 150/(1 + 8e-2x)
The upper bound of any logistic growth model is called its carrying capacity.
In the logistic model f(x) = 150/(1 + 8e-2x), the value of c is equal to 150.
So the carrying capacity of this logistic growth model is 150.