A Fractional Model of Vertical Transmission and Cure of Vector-Borne Diseases Pertaining To the Atangana-Baleanu Fractional Derivatives
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.date.accessioned | 2020-03-18T13:48:50Z | |
| dc.date.accessioned | 2025-09-18T12:04:38Z | |
| dc.date.available | 2020-03-18T13:48:50Z | |
| dc.date.available | 2025-09-18T12:04:38Z | |
| dc.date.issued | 2018 | |
| dc.description | Inc, Mustafa/0000-0003-4996-8373; Isa Aliyu, Aliyu/0000-0002-9756-7374; Yusuf, Abdullahi/0000-0002-8308-7943 | en_US |
| dc.description.abstract | The model of transmission dynamics of vector-borne diseases with vertical transmission and cure within a targeted population is extended to the concept of fractional differentiation and integration with non-local and non-singular fading memory introduced. The effect of vertical transmission and cure rate on the basic reproduction number is shown. The Atangana-Baleanu fractional operator in caputo sense (ABC) with non-singular and non-local kernels is used to study the model. The existence and uniqueness of solutions are investigated using the Picard-Lindel method. Ultimately, for illustrating the acquired results, we perform some numerical simulations and show graphically to observe the impact of the arbitrary order derivative. It is expected that the proposed model will show better approximation than the classical model established before. (C) 2018 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.citation | Aliyu, Aliyu Isa...et al. (2018). "A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives", Chaos Solitons & Fractals, Vol. 116, pp. 268-277. | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2018.09.043 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85054077885 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2018.09.043 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10406 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Vector-Borne Diseases | en_US |
| dc.subject | Atangana-Baleanu Fractional Derivatives | en_US |
| dc.subject | Numerical Simulation | en_US |
| dc.title | A Fractional Model of Vertical Transmission and Cure of Vector-Borne Diseases Pertaining To the Atangana-Baleanu Fractional Derivatives | en_US |
| dc.title | A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Inc, Mustafa/0000-0003-4996-8373 | |
| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
| gdc.author.id | Yusuf, Abdullahi/0000-0002-8308-7943 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey; [Aliyu, Aliyu Isa; Yusuf, Abdullahi] Fed Univ Dutse, Fac Sci, Dept Math, Jigawa, Nigeria; [Baleanu, Dumitru] Hohai Univ, Coll Mech & Mat, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Fac Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 277 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 268 | en_US |
| gdc.description.volume | 116 | en_US |
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| gdc.oaire.keywords | Epidemiology | |
| gdc.oaire.keywords | vector-borne diseases | |
| gdc.oaire.keywords | numerical simulation | |
| gdc.oaire.keywords | Qualitative investigation and simulation of ordinary differential equation models | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Atangana-Baleanu fractional derivatives | |
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