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Stability and Energy-Casimir Mapping for Integrable Deformations of the Kermack-McKendrick System
Joint Authors
Lăzureanu, Cristian
Petrişor, Camelia
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Integrable deformations of a Hamilton-Poisson system can be obtained altering its constants of motion.
These deformations are integrable systems that can have various dynamical properties.
In this paper, we give integrable deformations of the Kermack-McKendrick model for epidemics, and we analyze a particular integrable deformation.
More precisely, we point out two Poisson structures that lead to infinitely many Hamilton-Poisson realizations of the considered system.
Furthermore, we study the stability of the equilibrium points, we give the image of the energy-Casimir mapping, and we point out some of its properties.
American Psychological Association (APA)
Lăzureanu, Cristian& Petrişor, Camelia. 2018. Stability and Energy-Casimir Mapping for Integrable Deformations of the Kermack-McKendrick System. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119188
Modern Language Association (MLA)
Lăzureanu, Cristian& Petrişor, Camelia. Stability and Energy-Casimir Mapping for Integrable Deformations of the Kermack-McKendrick System. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119188
American Medical Association (AMA)
Lăzureanu, Cristian& Petrişor, Camelia. Stability and Energy-Casimir Mapping for Integrable Deformations of the Kermack-McKendrick System. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119188