An Accurate Predictor-Corrector Nonstandard Finite Difference Scheme for an Seir Epidemic Model
| dc.contributor.author | Ahmad, Riaz | |
| dc.contributor.author | Farooqi, Rashada | |
| dc.contributor.author | Alharbi, Sayer O. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Rafiq, Muhammad | |
| dc.contributor.author | Ahmad, M. O. | |
| dc.contributor.author | Farooqi, Asma | |
| dc.date.accessioned | 2022-03-10T10:41:54Z | |
| dc.date.accessioned | 2025-09-18T12:04:39Z | |
| dc.date.available | 2022-03-10T10:41:54Z | |
| dc.date.available | 2025-09-18T12:04:39Z | |
| dc.date.issued | 2020 | |
| dc.description | Khan, Ilyas/0000-0002-2056-9371; Rafiq, Muhammad/0000-0002-2165-3479; Ahmad, Riaz/0000-0003-2465-8221 | en_US |
| dc.description.abstract | The present work deals with the construction, development, and analysis of a viable normalized predictor-corrector-type nonstandard finite difference scheme for the SEIR model concerning the transmission dynamics of measles. The proposed numerical scheme double refines the solution and gives realistic results even for large step sizes, thus making it economical when integrating over long time periods. Moreover, it is dynamically consistent with a continuous system and unconditionally convergent and preserves the positive behavior of the state variables involved in the system. Simulations are performed to guarantee the results, and its effectiveness is compared with well-known numerical methods such as Runge-Kutta (RK) and Euler method of a predictor-corrector type. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research at Majmaah University [RGP-2019-6] | en_US |
| dc.description.sponsorship | The authors extend their appreciation to the Deanship of Scientific Research at Majmaah University for funding this work under Project no. RGP-2019-6. | en_US |
| dc.identifier.citation | Farooqi, Asma...et al. (2020). "An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model", Journal of Mathematics, Vol. 2020. | en_US |
| dc.identifier.doi | 10.1155/2020/8830829 | |
| dc.identifier.issn | 2314-4629 | |
| dc.identifier.issn | 2314-4785 | |
| dc.identifier.scopus | 2-s2.0-85098539495 | |
| dc.identifier.uri | https://doi.org/10.1155/2020/8830829 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10409 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Journal of Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | An Accurate Predictor-Corrector Nonstandard Finite Difference Scheme for an Seir Epidemic Model | en_US |
| dc.title | An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Khan, Ilyas/0000-0002-2056-9371 | |
| gdc.author.id | Rafiq, Muhammad/0000-0002-2165-3479 | |
| gdc.author.id | Ahmad, Riaz/0000-0003-2465-8221 | |
| gdc.author.scopusid | 57210801798 | |
| gdc.author.scopusid | 55608904300 | |
| gdc.author.scopusid | 57221230244 | |
| gdc.author.scopusid | 57205022409 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 55960372700 | |
| gdc.author.scopusid | 55566827000 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Alharbi, Sayer O/Gqi-3100-2022 | |
| gdc.author.wosid | Rafiq, Muhammad/Gnw-5095-2022 | |
| gdc.author.wosid | Ahmad, Riaz/Aav-2148-2021 | |
| gdc.author.wosid | Khan, Ilyas/C-8770-2019 | |
| gdc.author.wosid | Khan, Ilyas/D-2614-2019 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Farooqi, Asma; Ahmad, Riaz] Yibin Univ, Fac Sci, Yibin 644000, Peoples R China; [Farooqi, Asma] Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R China; [Farooqi, Rashada] POF Hosp, Wah Med Coll, Wah Cantt 47040, Pakistan; [Alharbi, Sayer O.; Khan, Ilyas] Majmaah Univ, Dept Math, Coll Sci Al Zulfi, Al Majmaah 11952, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan; [Rafiq, Muhammad] Univ Cent Punjab, Dept Math, Fac Sci, Lahore, Pakistan; [Ahmad, M. O.] Univ Lahore, Dept Math & Stat, Lahore 54590, Pakistan | en_US |
| gdc.description.endpage | 18 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1 | |
| gdc.description.volume | 2020 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3112179060 | |
| gdc.identifier.wos | WOS:000603583200003 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 8.0 | |
| gdc.oaire.influence | 3.1051592E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Finite difference | |
| gdc.oaire.keywords | Artificial intelligence | |
| gdc.oaire.keywords | Epidemic Models | |
| gdc.oaire.keywords | Population | |
| gdc.oaire.keywords | FOS: Mechanical engineering | |
| gdc.oaire.keywords | Control (management) | |
| gdc.oaire.keywords | Euler's formula | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Engineering | |
| gdc.oaire.keywords | Sociology | |
| gdc.oaire.keywords | Biochemistry, Genetics and Molecular Biology | |
| gdc.oaire.keywords | Epidemic model | |
| gdc.oaire.keywords | Health Sciences | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Genetics | |
| gdc.oaire.keywords | Control theory (sociology) | |
| gdc.oaire.keywords | Work (physics) | |
| gdc.oaire.keywords | Runge–Kutta methods | |
| gdc.oaire.keywords | Biology | |
| gdc.oaire.keywords | Scheme (mathematics) | |
| gdc.oaire.keywords | Demography | |
| gdc.oaire.keywords | Ecology | |
| gdc.oaire.keywords | Modeling the Dynamics of COVID-19 Pandemic | |
| gdc.oaire.keywords | Evolutionary Dynamics of Genetic Adaptation and Mutation | |
| gdc.oaire.keywords | Public Health, Environmental and Occupational Health | |
| gdc.oaire.keywords | Modeling | |
| gdc.oaire.keywords | Life Sciences | |
| gdc.oaire.keywords | Euler method | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Mechanical engineering | |
| gdc.oaire.keywords | FOS: Sociology | |
| gdc.oaire.keywords | transmission dynamics | |
| gdc.oaire.keywords | Disease Transmission and Population Dynamics | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | FOS: Biological sciences | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Medicine | |
| gdc.oaire.keywords | Type (biology) | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Predictor–corrector method | |
| gdc.oaire.keywords | Numerical analysis | |
| gdc.oaire.keywords | Finite difference and finite volume methods for ordinary differential equations | |
| gdc.oaire.keywords | Epidemiology | |
| gdc.oaire.keywords | Computational methods for problems pertaining to biology | |
| gdc.oaire.popularity | 1.0870366E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 1.70941772 | |
| gdc.openalex.normalizedpercentile | 0.84 | |
| gdc.opencitations.count | 11 | |
| gdc.plumx.crossrefcites | 1 | |
| gdc.plumx.mendeley | 10 | |
| gdc.plumx.scopuscites | 11 | |
| gdc.publishedmonth | 12 | |
| gdc.scopus.citedcount | 11 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 9 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |