Open AccessChaos in a Hybrid Food Chain Model
Author(s) -
Safaa Jawad Ali,
Abed Almohsen Naji Almohasin,
Adwea Naji Atewi,
Raid Kamel Naji,
Norihan Md Arifin
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.7.25
Subject(s) - attractor , bifurcation diagram , dissipative system , chaotic , chaos (operating system) , mathematics , bifurcation , lyapunov exponent , stability (learning theory) , control theory (sociology) , lyapunov function , statistical physics , chain (unit) , physics , nonlinear system , computer science , mathematical analysis , thermodynamics , control (management) , artificial intelligence , computer security , quantum mechanics , machine learning , astronomy
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.