About: Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm

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About: Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm Goto Sponge NotDistinct Permalink

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

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm
Creator	Kelly, C Kelly, T Korobeinikov, Andrei Macsi, A Michael, · O', S O', Suzanne O'callaghan, J O'callaghan, M O'regan, S Pokrovskii, Alexei Pokrovskii, · Rachinskii, Dmitrii Rachinskii, · Thomas, Regan
Source	PMC
abstract	Seasonality is a complex force in nature that affects multiple processes in wild animal populations. In particular, seasonal variations in demographic processes may considerably affect the persistence of a pathogen in these populations. Furthermore, it has been long observed in computer simulations that under seasonal perturbations, a host–pathogen system can exhibit complex dynamics, including the transition to chaos, as the magnitude of the seasonal perturbation increases. In this paper, we develop a seasonally perturbed Susceptible-Infected-Recovered model of avian influenza in a seabird colony. Numerical simulations of the model give rise to chaotic recurrent epidemics for parameters that reflect the ecology of avian influenza in a seabird population, thereby providing a case study for chaos in a host– pathogen system. We give a computer-assisted exposition of the existence of chaos in the model using methods that are based on the concept of topological hyperbolicity. Our approach elucidates the geometry of the chaos in the phase space of the model, thereby offering a mechanism for the persistence of the infection. Finally, the methods described in this paper may be immediately extended to other infections and hosts, including humans.
has issue date	2012-05-31(xsd:dateTime)
bibo:doi	10.1007/s00285-012-0550-9
bibo:pmid	22648788
has license	no-cc
sha1sum (hex)	51ccea85cce23c2d48241d571dd15544e1f3690a
schema:url	https://doi.org/10.1007/s00285-012-0550-9
resource representing a document's title	Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm
has PubMed Central identifier	PMC7080170
has PubMed identifier	22648788
schema:publication	J Math Biol
resource representing a document's body	covid:51ccea85cce23c2d48241d571dd15544e1f3690a#body_text
is schema:about of	named entity 'affect' named entity 'geometry' named entity 'infections' named entity 'perturbed' named entity 'chaos' named entity 'pathogen' named entity 'MATHEMATICAL BIOLOGY' named entity 'OBSERVED' named entity 'GEOMETRY' named entity 'FORCE' named entity 'DYNAMICS' named entity 'CONCEPT' named entity 'IS A' named entity 'SEASONALITY' named entity 'PERTURBATION' named entity 'EPIDEMICS' named entity 'CHAOTIC' named entity 'WILD ANIMAL' named entity 'PERSISTENCE' named entity 'MECHANISM' named entity 'PATHOGEN' named entity 'HOST' named entity 'COMPUTER SIMULATIONS' named entity 'RISE' named entity 'AFFECT' named entity 'COMPUTER' named entity 'OFFERING' named entity 'SPACE' named entity 'MULTIPLE' named entity 'PROCESSES' named entity 'USING' named entity 'MAGNITUDE' named entity 'ECOLOGY' named entity 'PARTICULAR' named entity 'THESE' named entity 'SUSCEPTIBLE' named entity 'TRANSITION' named entity 'HUMANS' named entity 'BASED' named entity 'SEABIRD' named entity 'RECOVERED' named entity 'ASSISTED' named entity 'RECURRENT' named entity 'INFECTED' named entity 'PARADIGM' named entity 'SEABIRD' named entity 'AVIAN INFLUENZA' named entity 'CHAOS' named entity 'INFECTIONS' named entity 'MODEL' named entity 'SEASONAL' named entity 'NATURE' named entity 'EXTENDED' named entity 'IMMEDIATELY' named entity 'NUMERICAL SIMULATIONS' named entity 'PARAMETERS' named entity 'CASE STUDY' named entity 'SYSTEM' named entity 'MAY BE' named entity 'COLONY' named entity 'SEASONAL VARIATIONS' named entity 'EXHIBIT' named entity 'CHAOS' named entity 'PROVIDING' named entity 'LONG' named entity 'HYPERBOLICITY' named entity 'PAPER'

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