A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model
| dc.contributor.author | Habenom, Haile | |
| dc.contributor.author | Suthar, D. L. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Purohit, S. D. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2024-02-13T13:11:30Z | |
| dc.date.accessioned | 2025-09-18T12:08:13Z | |
| dc.date.available | 2024-02-13T13:11:30Z | |
| dc.date.available | 2025-09-18T12:08:13Z | |
| dc.date.issued | 2021 | |
| dc.description | Suthar, Dl/0000-0001-9978-2177; Anteneh, Haile Habenom/0000-0002-9884-6666 | en_US |
| dc.description.abstract | The aim of this paper is to develop a fractional order mathematical model for describing the spread of hepatitis B virus (HBV). We also provide a rigorous mathematical analysis of the stability of the disease-free equilibrium (DFE) and the endemic equilibrium of the system based on the basic reproduction number. Here, the infectious disease HBV model is described mathematically in a nonlinear system of differential equations in a caputo sense, and hence, Jacobi collocation method is used to reduce into a system of nonlinear equations. Finally, Newton Raphson method is used for the systems of nonlinear equations to arrive at an approximate solution and matlab 2018 has helped us to simulate the nature of each compartment and effects of the possible control strategies (i.e., vaccination and isolation). | en_US |
| dc.description.publishedMonth | 1 | |
| dc.identifier.citation | Habenom, Haile;...et.al. (2021). "A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model", Journal Of Computational And Nonlinear Dynamics, Vol.16, No.1. | en_US |
| dc.identifier.doi | 10.1115/1.4048475 | |
| dc.identifier.issn | 1555-1423 | |
| dc.identifier.issn | 1555-1415 | |
| dc.identifier.scopus | 2-s2.0-85095786089 | |
| dc.identifier.uri | https://doi.org/10.1115/1.4048475 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11059 | |
| dc.language.iso | en | en_US |
| dc.publisher | Asme | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model | en_US |
| dc.title | A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Suthar, Dl/0000-0001-9978-2177 | |
| gdc.author.id | Anteneh, Haile Habenom/0000-0002-9884-6666 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 57207684771 | |
| gdc.author.scopusid | 40762461400 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 36722038700 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Purohit, Sunil/F-3017-2011 | |
| gdc.author.wosid | Suthar, Dl/E-4792-2018 | |
| gdc.author.wosid | Anteneh, Haile Habenom/Aap-3293-2021 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Habenom, Haile; Suthar, D. L.] Wollo Univ, Dept Math, Dessie 1145, Amhara Region, Ethiopia; [Baleanu, D.] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Magurele 077125, Romania; [Purohit, S. D.] Rajasthan Tech Univ, Dept HEAS Math, Kota 324010, India | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 16 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W3089196621 | |
| gdc.identifier.wos | WOS:000596580600004 | |
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| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 21 | |
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| gdc.plumx.scopuscites | 47 | |
| gdc.scopus.citedcount | 46 | |
| gdc.wos.citedcount | 35 | |
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