A population grows according to a logistic population model, with population parameter $\lambda$ = 4.1 and starting population fraction x = 0.72 for the first year. The value of x after the second year is:

Question

Quizplus · Accepted Answer

In a logistic population model, the population fraction x in the next year can be calculated using the formula x_next = x_current + λx_current(1 - x_current), where λ is the population parameter. Given λ = 4.1 and starting x = 0.72 for the first year, we calculate the value of x for the second year as follows: x_next = 0.72 + 4.1*0.72*(1 - 0.72) = 0.72 + 4.1*0.72*0.28 ≈ 0.827.

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