Living Graph: Explore Logistic Growth

This exercise generates two graphs: A graph of population size ( N ) vs time and a graph of the growth rate as a function of N . Explore the effects of different values of r and K on the shape of the graph of population size over time.

  1. Keep the value of K constant and change the value of r . How does the graph change?
  2. Keep the value of r constant and change the value of K . How does the graph change?

Range of Time (T):

Population (N) #1

Growth Rate (r) #1

Capacity (K) #1

Population (N) #2

Growth Rate (r) #2

Capacity (K) #2

Update Graph Reset Page

To compare two populations over the same Time (T), please enter values above. Click the items in the legend to hide or display the corresponding plotted points. Explore the plotted points by hovering over them with your cursor; you can zoom in on a section of the graph by clicking and dragging. When zoomed-in, you may explore the timeline by dragging the scroll bar at the top of the graph. Reset the graph by clicking "Show all".

The graph plots the population size from 0 to 10,000, versus Time T from 0 to 10. Population 1: 0, 0; 2, 3800; 4, 8800; 6, 10,000. Population 2: 0, 0; 2, 3000; 4, 7200; 6, 9800; 10, 10,000. In the same graph, the growth rate percent as a function of N is plotted in the Y-axis from minus 1 to 1.5. Growth rate 1: 0, 1.1; 4, 0.4; 6, 0; 10, 0. Growth rate 2: 0, 0.8; 4, 0.4; 10, 0. All values are estimated.