7. Differential Equations

Logistic Models With Differential Equations — Quiz

Test your understanding of logistic models with differential equations with 5 practice questions.

Read the lesson first

Practice Questions

Question 1

In a logistic model, what does the carrying capacity represent?

Question 2

Which differential equation has the form of a logistic model?

Question 3

If a population is modeled by a logistic equation and $P$ is much smaller than the carrying capacity $M$, the growth behaves most like which model?

Question 4

For the logistic differential equation $\dfrac{dP}{dt}=kP\left(1-\dfrac{P}{M}\right)$, which value of $P$ makes the growth rate $\dfrac{dP}{dt}$ equal to $0$ besides $P=0$?

Question 5

In a logistic growth curve, at what population size is the growth rate typically greatest?