Numerical Simulations for the Predator-Prey Model as a Prototype of an Excitable System
| dc.contributor.author | Almohsen, Bandar | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Khater, Mostafa M. A. | |
| dc.date.accessioned | 2022-08-26T11:10:49Z | |
| dc.date.accessioned | 2025-09-18T14:09:57Z | |
| dc.date.available | 2022-08-26T11:10:49Z | |
| dc.date.available | 2025-09-18T14:09:57Z | |
| dc.date.issued | 2024 | |
| dc.description | Bin-Mohsin Or Almohsen, Bandar/0000-0002-2160-4159 | en_US |
| dc.description.abstract | This research paper investigates the numerical solutions of the predator-prey model through five recent numerical schemes (Adomian decomposition, El Kalla, cubic B-spline, extended cubic B-spline, exponential cubic B-spline). We investigate the obtained computational solutions via the modified Khater methods. This model is considered as a well-known bimathematical model to describe the prototype of an excitable system. The obtained solitary solutions emerge the localized wave packet as a persistent and dominant feature. The accuracy of the obtained numerical solutions is investigated by calculating the absolute error between the exact and numerical solutions. Many sketches are given to illustrate the matching between the exact and numerical solutions. | en_US |
| dc.description.sponsorship | King Saud University [RSP-2020/158] | en_US |
| dc.description.sponsorship | King Saud University, Grant/Award Number: RSP-2020/158. | en_US |
| dc.identifier.citation | Khater, Mostafa M. A.; Almohsen, Bandar; Baleanu, Dumitru (2020). "Numerical simulations for the predator–prey model as a prototype of an excitable system", Numerical Methods for Partial Differential Equations. | en_US |
| dc.identifier.doi | 10.1002/num.22708 | |
| dc.identifier.issn | 0749-159X | |
| dc.identifier.issn | 1098-2426 | |
| dc.identifier.scopus | 2-s2.0-85097225343 | |
| dc.identifier.uri | https://doi.org/10.1002/num.22708 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13540 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Numerical Methods for Partial Differential Equations | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Computational And Numerical Simulations | en_US |
| dc.subject | Excitable System | en_US |
| dc.subject | Nonlinear Predator– | en_US |
| dc.subject | Prey System | en_US |
| dc.title | Numerical Simulations for the Predator-Prey Model as a Prototype of an Excitable System | en_US |
| dc.title | Numerical simulations for the predator–prey model as a prototype of an excitable system | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Bin-Mohsin Or Almohsen, Bandar/0000-0002-2160-4159 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khater, Mostafa/Aal-3097-2020 | |
| gdc.author.wosid | Bin-Mohsin Or Almohsen, Bandar/C-7273-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khater, Mostafa M. A.] Jiangsu Univ, Fac Sci, Dept Math, Zhenjiang, Jiangsu, Peoples R China; [Khater, Mostafa M. A.] Obour Inst, Dept Math, Cairo, Egypt; [Almohsen, Bandar] King Saud Univ, Riyadh, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Sci Fac, Dept Math, Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Inc, Mustafa] Firat Univ, Sci Fac, Dept Math, Elazig, Turkiye; [Inc, Mustafa] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 40 | en_US |
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| gdc.oaire.keywords | Population dynamics (general) | |
| gdc.oaire.keywords | computational and numerical simulations | |
| gdc.oaire.keywords | Soliton solutions | |
| gdc.oaire.keywords | nonlinear predator-prey system | |
| gdc.oaire.keywords | Mathematical modeling or simulation for problems pertaining to biology | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Numerical computation using splines | |
| gdc.oaire.keywords | excitable system | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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