Summary: APRIL 2000 SIMULATION 219
SIMULATION 74:4, ###-###
©2000, Simulation Councils, Inc.
Printed in the United States of America
The use of mathematical models in medicine goes back
to Daniel Bernoulli, who in 1760 used a mathematical
method to study techniques of protection against
smallpox. In 1927, W.O. Kermack and A.G. McKendrick
 used differential equations to understand a cholera
epidemic. Since then, many authors have developed
mathematical models of epidemics. With the emer-
gence of AIDS, this discipline has had a renaissance.
In this paper, we will model two different epidem-
ics using differential equations: Hepatitis B among a
cohort of the total population, and AIDS restricted to
a homosexual population.
To build the models, we have made use of differen-