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Global stability of a three species predator-prey food chain dynamics


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


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

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Watam Press
Keywords: bifurcation diagram; Chaotic dynamics; Holling type IV; Global stability; Period doubling.
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 30 May 2023 08:50
Last Modified: 30 May 2023 08:50
URI: http://psasir.upm.edu.my/id/eprint/79999
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