Chaos in a hybrid food chain model

In this paper, chaotic and periodic dynamics in a hybrid food chain system with Holling type IV and Lotka-Volterra responses are discussed. The system is observed to be dissipative. The global stability of the equilibrium points is analyzed using Routh-Hurwitz criterion and Lyapunov direct method. C...

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Bibliographic Details
Main Authors: Jawad Ali, Safaa, Naji Almohasin, Abed Almohsen, Naji, Adwea Atewi, Naji, Raid Kamel, Md Arifin, Norihan
Format: Article
Published: Baghdad University 2021
Online Access:http://psasir.upm.edu.my/id/eprint/96338/
Description
Summary:In this paper, chaotic and periodic dynamics in a hybrid food chain system with Holling type IV and Lotka-Volterra responses are discussed. The system is observed to be dissipative. The global stability of the equilibrium points is analyzed using Routh-Hurwitz criterion and Lyapunov direct method. Chaos phenomena is characterized by attractors and bifurcation diagram. The effect of the controlling parameter of the model is investigated theoretically and numerically.