Controlling chaotic dynamics of a continuous ecological model
In this paper a technique of controlling chaotic behavior of a three species food chain model with Sokol-Howell functional response by involving intraspecific competition is discussed. The model is proved to be dissipative in the positive octant. Controlling conditions of chaotic behavior of the sys...
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| Format: | Article |
| Language: | English |
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Academic Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/55382/ http://psasir.upm.edu.my/id/eprint/55382/1/Controlling%20chaotic%20dynamics%20of%20a%20continuous%20ecological%20model.pdf |
| _version_ | 1848852787554680832 |
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| author | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok @ Lati, Norfifah |
| author_facet | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok @ Lati, Norfifah |
| author_sort | Ali, Safaa Jawad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper a technique of controlling chaotic behavior of a three species food chain model with Sokol-Howell functional response by involving intraspecific competition is discussed. The model is proved to be dissipative in the positive octant. Controlling conditions of chaotic behavior of the system are carried out. Stability analysis of the equilibrium points is analyzed. Lyaponuv exponents and bifurcation diagrams are used to study the complex dynamics of the model. The impact of the intraspecific competition in the dynamics of the foodchain model with Sokol-Howell response is investigated theoretically as well as numerically. |
| first_indexed | 2025-11-15T10:43:38Z |
| format | Article |
| id | upm-55382 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:43:38Z |
| publishDate | 2016 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-553822019-11-01T02:24:21Z http://psasir.upm.edu.my/id/eprint/55382/ Controlling chaotic dynamics of a continuous ecological model Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok @ Lati, Norfifah In this paper a technique of controlling chaotic behavior of a three species food chain model with Sokol-Howell functional response by involving intraspecific competition is discussed. The model is proved to be dissipative in the positive octant. Controlling conditions of chaotic behavior of the system are carried out. Stability analysis of the equilibrium points is analyzed. Lyaponuv exponents and bifurcation diagrams are used to study the complex dynamics of the model. The impact of the intraspecific competition in the dynamics of the foodchain model with Sokol-Howell response is investigated theoretically as well as numerically. Academic Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55382/1/Controlling%20chaotic%20dynamics%20of%20a%20continuous%20ecological%20model.pdf Ali, Safaa Jawad and Md. Arifin, Norihan and Naji, Raid Kamel and Ismail, Fudziah and Bachok @ Lati, Norfifah (2016) Controlling chaotic dynamics of a continuous ecological model. International Journal of Pure and Applied Mathematics, 109 (2). pp. 177-191. ISSN 1311-8080; ESSN: 1314-3395 https://ijpam.eu/contents/2016-109-2/2/ 10.12732/ijpam.v109i2.2 |
| spellingShingle | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok @ Lati, Norfifah Controlling chaotic dynamics of a continuous ecological model |
| title | Controlling chaotic dynamics of a continuous ecological model |
| title_full | Controlling chaotic dynamics of a continuous ecological model |
| title_fullStr | Controlling chaotic dynamics of a continuous ecological model |
| title_full_unstemmed | Controlling chaotic dynamics of a continuous ecological model |
| title_short | Controlling chaotic dynamics of a continuous ecological model |
| title_sort | controlling chaotic dynamics of a continuous ecological model |
| url | http://psasir.upm.edu.my/id/eprint/55382/ http://psasir.upm.edu.my/id/eprint/55382/ http://psasir.upm.edu.my/id/eprint/55382/ http://psasir.upm.edu.my/id/eprint/55382/1/Controlling%20chaotic%20dynamics%20of%20a%20continuous%20ecological%20model.pdf |