2004 Conference on Diff. Eqns. and Appl. in Math. Biology, Nanaimo,
BC, Canada.
Electron. J. Diff. Eqns., Conference 12, 2005, pp. 87101.
Using Lie symmetries in epidemiology
Maria Clara Nucci
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 firstorder in contrast with those in physics
which are usually of secondorder.
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
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Maria Clara Nucci
Dipartimento di Matematica e Informatica
Universitá di Perugia
06123 Perugia, Italy
email: nucci@unipg.it 
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