About: Hamiltonian structure of compartmental epidemiological models

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Hamiltonian structure of compartmental epidemiological models
Creator	Ballesteros, Angel Blasco, Alfonso Gutierrez-Sagredo, Ivan
topic	covid:4170bdddec6802bf09a351fc69f7d319da825bc4#this
Source	ArXiv; Elsevier; Medline; PMC
abstract	Any epidemiological compartmental model with constant population is shown to be a Hamiltonian dynamical system in which the total population plays the role of the Hamiltonian function. Moreover, some particular cases within this large class of models are shown to be bi-Hamiltonian. New interacting compartmental models among different populations, which are endowed with a Hamiltonian structure, are introduced. The Poisson structures underlying the Hamiltonian description of all these dynamical systems are explicitly presented, and their associated Casimir functions are shown to provide an efficient tool in order to find exact analytical solutions for epidemiological models, such as the ones describing the dynamics of the COVID-19 pandemic.
has issue date	2020-07-23(xsd:dateTime)
bibo:doi	10.1016/j.physd.2020.132656
bibo:pmid	32834251
has license	no-cc
sha1sum (hex)	4170bdddec6802bf09a351fc69f7d319da825bc4
schema:url	https://doi.org/10.1016/j.physd.2020.132656
resource representing a document's title	Hamiltonian structure of compartmental epidemiological models
has PubMed Central identifier	PMC7375975
has PubMed identifier	32834251
schema:publication	Physica D
resource representing a document's body	covid:4170bdddec6802bf09a351fc69f7d319da825bc4#body_text
is http://vocab.deri.ie/void#inDataset of	proxy:http/ns.inria.fr/covid19/4170bdddec6802bf09a351fc69f7d319da825bc4
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