About: Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator

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About: Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator Goto Sponge NotDistinct Permalink

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	Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator
Creator	Rachinskii, Dmitrii Kopfová, J Kopfová, Jana Nábělková, P Nábělková, Petra Rachinskii, D Rouf, C Rouf, S Samiha, ·
Source	ArXiv
abstract	We study global dynamics of an SIR model with vaccination, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled by the Preisach hysteresis operator. We present a condition for the global stability of the infection-free equilibrium state. If this condition does not hold true, the model has a connected set of endemic equilibrium states characterized by different proportion of infected and immune individuals. In this case, we show that every trajectory converges either to an endemic equilibrium or to a periodic orbit. Under additional natural assumptions, the periodic attractor is excluded, and we guarantee the convergence of each trajectory to an endemic equilibrium state. The global stability analysis uses a family of Lyapunov functions corresponding to the family of branches of the hysteresis operator.
has issue date	2020-07-08(xsd:dateTime)
has license	arxiv
sha1sum (hex)	8006e0c5ae130001f8b63257a3a85e3e1ee1661c
resource representing a document's title	Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator
resource representing a document's body	covid:8006e0c5ae130001f8b63257a3a85e3e1ee1661c#body_text
is schema:about of	named entity 'MODELED' named entity 'OPERATOR' named entity 'FUNCTIONS' named entity 'DIFFERENT' named entity 'endemic equilibrium' named entity 'endemic equilibrium' named entity 'periodic orbit' named entity 'attractor' named entity 'vaccination' named entity 'infection' named entity 'epidemic' named entity 'Preisach' named entity 'hysteresis' named entity 'time interval' named entity 'nullcline' named entity 'systems approach' named entity 'Preisach' named entity 'vaccination' named entity 'endemic equilibrium' named entity 'infection' named entity 'quarantine' named entity 'global maximum' named entity 'endemic equilibrium' named entity 'hysteresis loop' named entity 'vaccination rates' named entity 'Picard-Lindelöf' named entity 'Preisach' named entity 'Preisach' named entity 'infection' named entity 'Preisach' named entity '0.01' named entity 'state space' named entity 'Preisach' named entity 'vaccination' named entity 'mortality rates' named entity 'hysteresis loop' named entity 'endemic equilibrium' named entity 'Immunization' named entity 'emigration rate' named entity 'endemic equilibrium' named entity 'epidemic' named entity 'vaccination' named entity 'Preisach' named entity 'attractor' named entity 'Preisach' named entity 'epidemic' named entity 'incidence rate' named entity '2.2' named entity 'Lyapunov function' named entity 'vaccination' named entity 'transmission rate' named entity 'state diagram' named entity 'Preisach' named entity 'vaccination' named entity 'population density' named entity 'threshold switch' named entity 'threshold switch' named entity 'quarantine' named entity 'vaccination' named entity 'endemic equilibrium' named entity 'endemic equilibrium' named entity 'vaccination' named entity 'periodic orbit' named entity 'periodic orbit' named entity 'epidemics' named entity 'SIR model' named entity 'periodic function' named entity 'vector field' named entity 'vaccination' named entity 'epidemic' named entity 'periodic orbit' named entity 'Heterogeneity' named entity 'Preisach' named entity 'endemic equilibrium' named entity 'public health interventions' named entity 'epidemic' named entity 'health authority' named entity 'vaccination' named entity '5.4'

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