About: Qualitative Analysis of a Mathematical Model in the Time of COVID-19

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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	Qualitative Analysis of a Mathematical Model in the Time of COVID-19
Creator	Abdeljawad, Thabet Jarad, Fahd Mahariq, Ibrahim Shah, Kamal
Source	Medline; PMC
abstract	In this article, a qualitative analysis of the mathematical model of novel corona virus named COVID-19 under nonsingular derivative of fractional order is considered. The concerned model is composed of two compartments, namely, healthy and infected. Under the new nonsingular derivative, we, first of all, establish some sufficient conditions for existence and uniqueness of solution to the model under consideration. Because of the dynamics of the phenomenon when described by a mathematical model, its existence must be guaranteed. Therefore, via using the classical fixed point theory, we establish the required results. Also, we present the results of stability of Ulam's type by using the tools of nonlinear analysis. For the semianalytical results, we extend the usual Laplace transform coupled with Adomian decomposition method to obtain the approximate solutions for the corresponding compartments of the considered model. Finally, in order to support our study, graphical interpretations are provided to illustrate the results by using some numerical values for the corresponding parameters of the model.
has issue date	2020-05-25(xsd:dateTime)
bibo:doi	10.1155/2020/5098598
bibo:pmid	32596319
has license	cc-by
sha1sum (hex)	acc7592c53eef0e9d8edaf93e011d6c4c87a268a
schema:url	https://doi.org/10.1155/2020/5098598
resource representing a document's title	Qualitative Analysis of a Mathematical Model in the Time of COVID-19
has PubMed Central identifier	PMC7273369
has PubMed identifier	32596319
schema:publication	Biomed Res Int
resource representing a document's body	covid:acc7592c53eef0e9d8edaf93e011d6c4c87a268a#body_text
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