Chaos in a Hybrid Food Chain Model

Safaa Jawad  Ali; Abed Almohsen Naji  Almohasin; Adwea Naji  Atewi; Raid Kamel  Naji; Norihan Md  Arifin

doi:10.24996/ijs.2021.62.7.25

Authors

Safaa Jawad Ali Institute of Medical Technology/Al-Mansour, Middle Technical University, Baghdad, Iraq
Abed Almohsen Naji Almohasin Middle Technical University, Main University Office, Baghdad, Iraq
Adwea Naji Atewi Institute of Medical Technology/Al-Mansour, Middle Technical University, Baghdad, Iraq
Raid Kamel Naji Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Norihan Md Arifin Institute for Mathematical Research, University Putra Malaysia, Malaysia

DOI:

https://doi.org/10.24996/ijs.2021.62.7.25

Keywords:

Bifurcation diagram, Chaos, Global stability, Holling type IV, Lotka-Volterra

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.