2004 Conference on Diff. Eqns. and Appl. in Math. Biology, Nanaimo,
BC, Canada.
Electronic Journal of Differential Equations,
Conference 12, 2005, pp. 87-101.
Title: Using Lie symmetries in epidemiology
Author: Maria Clara Nucci (Univ. di Perugia, Italy)
Abstract:
Lie symmetry method has been and still is successfully applied in
different problems of physics for about a hundred years, but its
application in epidemiology has been rare perhaps because
the ordinary differential equations studied in this field are
generally of first-order in contrast with those in physics
which are usually of second-order.
Here we exemplify the use of Lie symmetry method in the study of
mathematical models in epidemiology, and show how it complements
the mathematical techniques (qualitative and numerical analysis)
traditionally used.
Published April 20, 2005.
Math Subject Classifications: 34A05, 34C14, 92D30.
Key Words: Lie symmetries; mathematical epidemiology.