Global stability of a three species predator-prey food chain dynamics
In this paper controlling chaotic dynamics in a three species food chain model with modified Holling type IV functional response is proposed and studied. The system is observed to be dissipative in the positive octant. The global stability of the equilibrium points is analyzed using Routh-Hurwitz...
| Main Authors: | , , , , |
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| Format: | Article |
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Watam Press
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/79999/ |
| _version_ | 1848858805815738368 |
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| author | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah |
| author_facet | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah |
| author_sort | Ali, Safaa Jawad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper controlling chaotic dynamics in a three species food chain model
with modified Holling type IV functional response is proposed and studied. The system is
observed to be dissipative in the positive octant. The global stability of the equilibrium points is analyzed using Routh-Hurwitz criterion and Lyapunov second method. Lyaponuv
exponent and bifurcation diagrams are used to study the dynamics of the system. The effect of the death rate in the dynamics of the food chain system is discussed. Moreover, the role of intraspecific competition in the dynamics of the model is investigated theoretically and additionally numerically |
| first_indexed | 2025-11-15T12:19:17Z |
| format | Article |
| id | upm-79999 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T12:19:17Z |
| publishDate | 2019 |
| publisher | Watam Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-799992023-05-30T08:50:07Z http://psasir.upm.edu.my/id/eprint/79999/ Global stability of a three species predator-prey food chain dynamics Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah In this paper controlling chaotic dynamics in a three species food chain model with modified Holling type IV functional response is proposed and studied. The system is observed to be dissipative in the positive octant. The global stability of the equilibrium points is analyzed using Routh-Hurwitz criterion and Lyapunov second method. Lyaponuv exponent and bifurcation diagrams are used to study the dynamics of the system. The effect of the death rate in the dynamics of the food chain system is discussed. Moreover, the role of intraspecific competition in the dynamics of the model is investigated theoretically and additionally numerically Watam Press 2019 Article PeerReviewed Ali, Safaa Jawad and Md. Arifin, Norihan and Naji, Raid Kamel and Ismail, Fudziah and Bachok, Norfifah (2019) Global stability of a three species predator-prey food chain dynamics. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 26 (1b). pp. 39-52. ISSN 1492-8760 http://online.watsci.org/contents2019/v26n1b.html |
| spellingShingle | Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah Global stability of a three species predator-prey food chain dynamics |
| title | Global stability of a three species predator-prey food chain dynamics |
| title_full | Global stability of a three species predator-prey food chain dynamics |
| title_fullStr | Global stability of a three species predator-prey food chain dynamics |
| title_full_unstemmed | Global stability of a three species predator-prey food chain dynamics |
| title_short | Global stability of a three species predator-prey food chain dynamics |
| title_sort | global stability of a three species predator-prey food chain dynamics |
| url | http://psasir.upm.edu.my/id/eprint/79999/ http://psasir.upm.edu.my/id/eprint/79999/ |