Bi-Hamiltonian structure of the Kermack-McKendrick model for epidemics
Date
1990
Authors
Nutku, Y.
Editor(s)
Advisor
Supervisor
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Instructor
Source Title
Journal of Physics A: Mathematical and General
Print ISSN
0305-4470
Electronic ISSN
Publisher
IOP Publishing
Volume
23
Issue
21
Pages
L1145 - L1146
Language
English
Type
Journal Title
Journal ISSN
Volume Title
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Abstract
The dynamical system proposed by Kermack and McKendrick to model the spread of epidemics is shown to admit bi-Hamiltonian structure without any restrictions on the rate constants. These two inequivalent Hamiltonian structures are compatible.