Mathematical Study of Sir Epidemic Model Under Convex Incidence Rate
| dc.contributor.author | Alqudah, Manar A. | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Din, Rahim Ud | |
| dc.contributor.author | Shah, Kamal | |
| dc.date.accessioned | 2022-06-17T12:18:05Z | |
| dc.date.accessioned | 2025-09-18T13:27:23Z | |
| dc.date.available | 2022-06-17T12:18:05Z | |
| dc.date.available | 2025-09-18T13:27:23Z | |
| dc.date.issued | 2020 | |
| dc.description | Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this manuscript, we examine the SIR model under convex incidence rate. We first formulate the famous SIR model under the aforesaid incidence rate. Further, we develop some sufficient analysis to examine the dynamical behavior of the model under consideration. We compute the basic reproductive number R-0: Also we study the global attractivity results via using Dulac function theory. Further, we also provide some information about the stability of the endemic and disease free equilibria for the considered model. In addition, we use nonstandard finite difference scheme to perform numerical simulation of the considered model via using Matlab. We provide different numerical plots for two different values of contact rate and taking various initial values for compartments involved in the considered model. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program | en_US |
| dc.description.sponsorship | This research was funded by the Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program. | en_US |
| dc.identifier.citation | Din, Rahim Ud...et al. (2020). "Mathematical study of sir epidemic model under convex incidence rate", AIMS Mathematics, Vol. 5, No. 6, pp. 7548-7561. | en_US |
| dc.identifier.doi | 10.3934/math.2020483 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85091786267 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2020483 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12920 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Convex Incidence Rate | en_US |
| dc.subject | Used Dulac Function | en_US |
| dc.subject | Global Analysis | en_US |
| dc.subject | Sir Model | en_US |
| dc.subject | Reproductive Number | en_US |
| dc.title | Mathematical Study of Sir Epidemic Model Under Convex Incidence Rate | en_US |
| dc.title | Mathematical study of sir epidemic model under convex incidence rate | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Alqudah, Manar/Aba-1904-2020 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Din, Rahim Ud; Shah, Kamal] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan; [Alqudah, Manar A.] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.endpage | 7561 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 7548 | en_US |
| gdc.description.volume | 5 | en_US |
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| gdc.virtual.author | Abdeljawad, Thabet | |
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