Chaos in a Hybrid Food Chain Model
Safaa Jawad Ali1*,
Abed Almohsen Naji Almohasin2,
Adwea Naji Atewi1,
Raid Kamel Naji3,
Norihan Md Arifin4
Abstract
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.
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