The Spread of a Cold -- Applet Only
The applet below is a simulation of one possible model for the
spread of a cold.
The left side of the applet above shows 100 students. They are colored a
pale salmon color to indicate they are all susceptible to the cold that is
about to arrive at their school. You can start the cold by clicking anyplace
in the applet above. When you do so, five students will be infected by the cold
and will turn a sickly pale green. They don't have any symptoms when they are
first infected but they are contagious. The students will come in contact
with each other randomly and each time an infected person comes in contact
with a susceptible one there is some possibility that the susceptible one
will catch the cold and turn a sickly pale green. After one day each infected
student develops symptoms and turns a dark green. After a few days each infected
student recovers and becomes immune to a repeat infection. As the students
on the left become infected, spread the cold, develop symptoms, and recover,
the three graphs at the right keep track of how many are susceptible, how many
are infected, and how many have recovered and are now immune. The simulation
in this applet lasts 30 days.
If you haven't already done so, click on the applet above to see this
simulation. Click on it several times to see several different
simulations. They will be somewhat different because there is a large
element of chance involved in which students come in contact with each other
and whether contacts result in the transmission of the cold.
Copyright c 1997 by
Frank Wattenberg, Department of Mathematics, Montana State University,
Bozeman, MT 59717