Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Caputo SIR model for COVID-19 under optimized fractional order

dc.contributor.authorAlshomrani, Ali S.
dc.contributor.authorUllah, Malik Z.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-23T11:58:17Z
dc.date.available2022-03-23T11:58:17Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractEveryone is talking about coronavirus from the last couple of months due to its exponential spread throughout the globe. Lives have become paralyzed, and as many as 180 countries have been so far affected with 928,287 (14 September 2020) deaths within a couple of months. Ironically, 29,185,779 are still active cases. Having seen such a drastic situation, a relatively simple epidemiological SIR model with Caputo derivative is suggested unlike more sophisticated models being proposed nowadays in the current literature. The major aim of the present research study is to look for possibilities and extents to which the SIR model fits the real data for the cases chosen from 1 April to 15 March 2020, Pakistan. To further analyze qualitative behavior of the Caputo SIR model, uniqueness conditions under the Banach contraction principle are discussed and stability analysis with basic reproduction number is investigated using Ulam-Hyers and its generalized version. The best parameters have been obtained via the nonlinear least-squares curve fitting technique. The infectious compartment of the Caputo SIR model fits the real data better than the classical version of the SIR model (Brauer et al. in Mathematical Models in Epidemiology 2019). Average absolute relative error under the Caputo operator is about 48% smaller than the one obtained in the classical case (nu=1). Time series and 3D contour plots offer social distancing to be the most effective measure to control the epidemic.en_US
dc.description.publishedMonth3
dc.identifier.citationAlshomrani, Ali S.; Ullah, Malik Z.; Baleanu, Dumitru (2021). "Caputo SIR model for COVID-19 under optimized fractional order", Advances in Difference Equations, Vol. 2021, No. 1.en_US
dc.identifier.doi10.1186/s13662-021-03345-5
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5189
dc.identifier.volume2021en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectUlam–Hyers Stabilityen_US
dc.subjectLeast-Squaresen_US
dc.subjectCaputoen_US
dc.subjectPandemicen_US
dc.subjectSIR Modelen_US
dc.titleCaputo SIR model for COVID-19 under optimized fractional ordertr_TR
dc.titleCaputo Sir Model for Covid-19 Under Optimized Fractional Orderen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Article.pdf
Size:
2.04 MB
Format:
Adobe Portable Document Format
Description:
Yayıncı sürümü

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: