Show simple item record

dc.creatorFredj, Haifa Ben
dc.creatorChérif, Farouk
dc.date.accessioned2020-07-30T18:44:46Z
dc.date.available2020-07-30T18:44:46Z
dc.date.created2020-06-10
dc.identifier.issn0960-0779spa
dc.identifier.otherhttps://www.sciencedirect.com/science/article/pii/S0960077920303684?via%3Dihub#keys0001spa
dc.identifier.urihttp://hdl.handle.net/20.500.12010/11440
dc.format.extent10 páginasspa
dc.format.mimetypeapplication/pdfspa
dc.publisherChaos, Solitons & Fractalseng
dc.sourcereponame:Expeditio Repositorio Institucional UJTLspa
dc.sourceinstname:Universidad de Bogotá Jorge Tadeo Lozanospa
dc.subjectMathematical modellingspa
dc.subjectNonlinear differential systemsspa
dc.subjectQualitative studyspa
dc.subjectSimulationspa
dc.titleNovel Corona virus disease infection in Tunisia: Mathematical model and the impact of the quarantine strategyspa
dc.type.localArtículospa
dc.subject.lembSíndrome respiratorio agudo gravespa
dc.subject.lembCOVID-19spa
dc.subject.lembSARS-CoV-2spa
dc.subject.lembCoronavirusspa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.type.hasversioninfo:eu-repo/semantics/acceptedVersionspa
dc.identifier.doihttps://doi.org/10.1016/j.chaos.2020.109969spa
dc.description.abstractenglishCorona virus disease (COVID-19) is an extremely serious infection with an extremely high death rate worldwide. In March, the disease was declared a ”global pandemic” by the World Health Organization (WHO). Until now, there is no known vaccine or drug, since the unknown things related to the disease are more important than our theoretical and empirical knowledge. However, mathematical modeling and the estimation of the basic number of reproductions can provide clarifications in order to determine the potential and severity of this epidemic and therefore provide essential information to identify the type of measures and interventions to be taken to control the intensity of the spread of the disease. Hence, in this paper, we propose a new deterministic compartmental model based on the clinical progression of the disease, the epidemiological state of the individuals and the intervention for the dynamics of COVID-19 infections. Our approach consists of seven phenotypes: the susceptible humans, exposed humans, infectious humans, the recovered humans, the quarantine population, there recovered-exposed and deceased population. We proved first through mathematical approach the positivity, boundness and existence of a solution to the considered model. We also studied the existence of the disease free equilibrium and corresponding stability. Our work shows, in particular, that the disease will decrease if the number of reproduction R0 was less than one. Moreover, the impact of the quarantine strategies to reduce the spread of this disease is discussed. The theoretical results are validated by some numerical simulations of the system of the epidemic’s differential equations. It should be mentioned that, the error between the considered model and the official data curve is quite small.spa


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record