About: On the analysis of a multi-regions discrete SIR epidemic model: an optimal control approach

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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	On the analysis of a multi-regions discrete SIR epidemic model: an optimal control approach
Creator	Elmouki, Ilias Rachik, Mostafa Zakary, Omar
Source	PMC
abstract	In this paper, we devise a discrete time SIR model depicting the spread of infectious diseases in various geographical regions that are connected by any kind of anthropological movement, which suggests disease-affected people can propagate the disease from one region to another via travel. In fact, health policy-makers could manage the problem of the regional spread of an epidemic, by organizing many vaccination campaigns, or by suggesting other defensive strategies such as blocking movement of people coming from borders of regions at high-risk of infection and entering very controlled regions or with insignificant infection rate. Further, we introduce in the discrete SIR systems, two control variables which represent the effectiveness rates of vaccination and travel-blocking operation. We focus in our study to control the outbreaks of an epidemic that affects a hypothetical population belonging to a specific region. Firstly, we analyze the epidemic model when the control strategy is based on the vaccination control only, and secondly, when the travel-blocking control is added. The multi-points boundary value problems, associated to the optimal control problems studied here, are obtained based on a discrete version of Pontryagin’s maximum principle, and resolved numerically using a progressive-regressive discrete scheme that converges following an appropriate test related to the Forward-Backward Sweep Method on optimal control.
has issue date	2016-03-07(xsd:dateTime)
bibo:doi	10.1007/s40435-016-0233-2
bibo:pmid	32288981
has license	no-cc
sha1sum (hex)	db33b48ca4ee731bc64e1636585ea89ab1deb8ee
schema:url	https://doi.org/10.1007/s40435-016-0233-2
resource representing a document's title	On the analysis of a multi-regions discrete SIR epidemic model: an optimal control approach
has PubMed Central identifier	PMC7133609
has PubMed identifier	32288981
schema:publication	Int J Dyn Control
resource representing a document's body	covid:db33b48ca4ee731bc64e1636585ea89ab1deb8ee#body_text
is schema:about of	named entity 'based' named entity 'travel' named entity 'optimal control' named entity 'FOCUS' named entity 'HEALTH POLICY' named entity 'SPREAD' named entity 'APPROPRIATE' named entity 'DEVISE' named entity 'BORDERS' named entity 'EFFECTIVENESS' named entity 'belonging' named entity 'vaccination' named entity 'entering' named entity 'control' named entity 'problems' named entity 'version' named entity 'optimal control' named entity 'numerically' named entity 'insignificant' named entity 'based' named entity 'discrete time' named entity 'regions' named entity 'vaccination' named entity 'boundary value problems' named entity 'infection' named entity 'health policy' named entity 'optimal control' named entity 'infection rate' named entity 'control problems' named entity 'optimal control' named entity 'epidemic model' named entity 'control variables' named entity 'kind' named entity 'vaccination' named entity 'optimal control' named entity 'MATLAB' named entity 'infectious diseases' named entity 'infection' named entity 'sub-Saharan African' named entity 'vaccination' named entity 'infectious diseases' named entity 'optimal control' named entity 'HIV/AIDS' named entity 'discrete-time' named entity 'vaccination' named entity 'B 2' named entity 'SIR model' named entity 'optimal control' named entity 'optimal control' named entity 'epidemiological' named entity 'transversality' named entity 'SIR model' named entity 'discrete-time' named entity 'Black Death' named entity 'Asia' named entity 'vaccination' named entity 'measles' named entity 'optimal control' named entity 'infection' named entity 'optimal control' named entity 'infection' named entity 'epidemic' named entity 'infection rate' named entity 'Tuberculosis' named entity 'Mathematical modeling' named entity 'North America' named entity 'Hamiltonian' named entity 'discrete-time' named entity 'HIV' named entity 'disease transmission' named entity 'vectors' named entity 'vaccination' named entity 'high-risk' named entity 'optimal control' named entity 'SARS' named entity 'infection' named entity 'Hamiltonian' named entity 'SIR model' named entity 'spread of the disease'

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