A population grows according to a logistic population model, with population parameter $\lambda$ = 2.5 and starting population fraction x = 0.28 for the first year. The value of x after the fourth year is:

Question

Quizplus · Accepted Answer

We can use the logistic population model formula to find the population fraction x after the fourth year:

x4 = F1 / (1 + (F1/F10 - 1) * e^(-S1*t))

where t is the number of years (in this case, t=4).

Plugging in the given parameters, we get:

x4 = 2.5 / (1 + (2.5/0.28 - 1) * e^(-S1*4))

Simplifying this expression, we get:

x4 ≈ 0.586

Therefore, the answer is C.

A Population Grows According to a Logistic Population Model, with Population