Lesson: The Logistic Model Mathematics • Higher Education
In this lesson, we will learn how to use the logistic differential equation to model situations where the growth of a quantity is limited by a carrying capacity.
Suppose a population grows according to a logistic model with a carrying capacity of 7,500 and . Write the logistic differential equation for this information.
A garden has a carrying capacity of 200 trees and needs a rate of per month to be fully grown. If the initial number of fully grown trees in the garden is 20, what will the number of fully grown trees be after 9 months?
An aquarium contains fish with a carrying capacity of 1,200 and a growth rate of . If the initial population of the fish is 400, what is the population of the fish at any given time?