Qualitative Analysis of a Mathematical Model in the Time of COVID-19
Joint Authors
Abdeljawad (Maraaba), T.
Shah, Kamal
Mahariq, Ibrahim
Jarad, Fahd
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shah, Kamal& Abdeljawad (Maraaba), T.& Mahariq, Ibrahim& Jarad, Fahd. 2020. Qualitative Analysis of a Mathematical Model in the Time of COVID-19. BioMed Research International،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1134492
Modern Language Association (MLA)
Shah, Kamal…[et al.]. Qualitative Analysis of a Mathematical Model in the Time of COVID-19. BioMed Research International No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1134492
American Medical Association (AMA)
Shah, Kamal& Abdeljawad (Maraaba), T.& Mahariq, Ibrahim& Jarad, Fahd. Qualitative Analysis of a Mathematical Model in the Time of COVID-19. BioMed Research International. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1134492
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1134492