 Nonlinear dynamics and Chaos control in a discrete predator–prey model with Smith-type growth, cannibalism, and group defenseMd. Mutakabbir Khan Mathematics and Computers in Simulation (MATCOM), 2026, vol. 243, issue C, 149-170 Abstract: This work investigates the nonlinear dynamics of a discrete predator–prey system with prey cannibalism and group defense. The model combines Smith-type growth with a cannibalistic term for prey, while predators follow a Monod–Haldane response. Using the center manifold theorem, we establish conditions for period-doubling (PD) and Neimark–Sacker (NS) bifurcations within the biologically feasible region. Numerical simulations validate these theoretical results and reveal complex dynamics, including high-periodic orbits, quasi-periodic invariant closed curves, and chaotic attractors confirmed through maximal Lyapunov exponents. To suppress chaotic fluctuations and restore ecological balance, we implement both the Ott–Grebogi–Yorke (OGY) method and a state feedback control strategy, successfully stabilizing the system near unstable equilibria. This work deepens the understanding of nonlinear mechanisms governing ecological interactions and offers robust control strategies to manage chaos in discrete biological systems. Keywords: Cannibalistic; Group defense; Stability; Bifurcation; Chaos (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:243:y:2026:i:c:p:149-170 DOI: 10.1016/j.matcom.2025.11.028 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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