@article{article_1751953, title={Interacting Predator-Prey Chains: A Complex Systems Approach to Stability and Chaos}, journal={Chaos Theory and Applications}, volume={7}, pages={284–296}, year={2025}, DOI={10.51537/chaos.1751953}, author={Abbas, Ansar and Khaliq, Abdul}, keywords={Chaos, Discrete FCM, Flip bifurcation, Neimark-sacker bifurcation, OGY, Maximum lyapunov exponent}, abstract={This paper presents a detailed analysis of the dynamics of a three-species food chain model, emphasizing the influence of population mobility on system behavior. The equilibrium points and bifurcation structures are analyzed to characterize transitions between regular and chaotic regimes. Numerical investigations reveal the occurrence of both Neimark–Sacker and flip bifurcations, leading to stable periodic oscillations and chaotic trajectories under parameter variations. The sensitivity of the system to initial conditions is quantified through the maximum Lyapunov exponent, confirming the presence of chaos. To suppress chaotic behavior, the Ott–Grebogi–Yorke (OGY) control method is implemented, where appropriate adjustments of regulator poles successfully stabilize period-1 orbits. Numerical simulations validate the theoretical predictions and demonstrate the effectiveness and robustness of the proposed control strategy.}, number={3}, publisher={Akif AKGÜL}