Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model
The victim-predator model has been investigated in several papers in the literature since it is considered one of the very important models. The relation between predator and victim is an important aspect of ecology. The principal object of this research is to propose a new Caputo fractional one vic...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-01-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721011049 |
| _version_ | 1819098179474292736 |
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| author | M. Higazy Hijaz Ahmad Abdul Hamid Ganie Thongchai Botmart A. El-Mesady |
| author_facet | M. Higazy Hijaz Ahmad Abdul Hamid Ganie Thongchai Botmart A. El-Mesady |
| author_sort | M. Higazy |
| collection | DOAJ |
| description | The victim-predator model has been investigated in several papers in the literature since it is considered one of the very important models. The relation between predator and victim is an important aspect of ecology. The principal object of this research is to propose a new Caputo fractional one victim-two predators model with variable parameters. In addition, we study its stability and prove the existence and uniqueness of its solution. We calculate its approximate solution using Laplace transform coupled with the Adomian Decomposition Method (ADM) in two cases. Also, in order to complete the study of the proposed paradigm, we simulate and show its fractional dynamics plus the effect of changing certain parameters on its fractional dynamics against various fractional orders. |
| first_indexed | 2024-12-22T00:26:52Z |
| format | Article |
| id | doaj.art-ae09e07a0de440679fecd1589c0a8556 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-22T00:26:52Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-ae09e07a0de440679fecd1589c0a85562022-12-21T18:45:02ZengElsevierResults in Physics2211-37972022-01-0132105139Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators modelM. Higazy0Hijaz Ahmad1Abdul Hamid Ganie2Thongchai Botmart3A. El-Mesady4Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia; Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, EgyptSection of Mathematics, International Telematic University Uninettuno, Corso Vittorio, Emanuele II, 39, 00186 Roma, ItalyBasic Science Department, College of Science and Theoretical Studies, Saudi Electronic University-Abha Male 61421, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand; Corresponding author.Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, EgyptThe victim-predator model has been investigated in several papers in the literature since it is considered one of the very important models. The relation between predator and victim is an important aspect of ecology. The principal object of this research is to propose a new Caputo fractional one victim-two predators model with variable parameters. In addition, we study its stability and prove the existence and uniqueness of its solution. We calculate its approximate solution using Laplace transform coupled with the Adomian Decomposition Method (ADM) in two cases. Also, in order to complete the study of the proposed paradigm, we simulate and show its fractional dynamics plus the effect of changing certain parameters on its fractional dynamics against various fractional orders.http://www.sciencedirect.com/science/article/pii/S221137972101104937A2534D2037M01 |
| spellingShingle | M. Higazy Hijaz Ahmad Abdul Hamid Ganie Thongchai Botmart A. El-Mesady Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model Results in Physics 37A25 34D20 37M01 |
| title | Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model |
| title_full | Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model |
| title_fullStr | Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model |
| title_full_unstemmed | Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model |
| title_short | Theoretical analysis and computational modeling of nonlinear fractional-order victim-two predators model |
| title_sort | theoretical analysis and computational modeling of nonlinear fractional order victim two predators model |
| topic | 37A25 34D20 37M01 |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721011049 |
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