A population grows according to a logistic population model, with population parameter $\lambda$ = 1.3 and starting population fraction x = 0.7 for the first year. The value of x after the second year is:

Question

Quizplus · Accepted Answer

The correct answer is A because the logistic population model is given by:$$x_{n+1} = \frac{F_1 x_n}{F_1 x_n + (1 - x_n)}$$where $$x_n$$ is the population fraction at year n.Substituting the given values, we get:$$x_2 = \frac{1.3 	imes 0.7}{1.3 	imes 0.7 + (1 - 0.7)} = 0.273$$

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