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Comment on “Dynamical complexity in a discrete tri-trophic Rosenzweig–MacArthur system: Bifurcations, chaos and hybrid control” [Chaos, Solitons and Fractals 201(2025) 117234]

N.C. Pati and Saumen Chakraborty

Chaos, Solitons & Fractals, 2026, vol. 202, issue P2

Abstract: In a recent article entitled “Dynamical complexity in a discrete tri-trophic Rosenzweig-MacArthur system: Bifurcations, chaos and hybrid control”, published in Chaos, Solitons & Fractals, S. Goldar explored the complex dynamics of a three-species, discrete-time predator–prey system obtained via discretization of a continuous-time three-species model. Different bifurcation patterns were reported for the transition from steady-state to chaotic behavior. However, upon careful examination, we have identified several critical inconsistencies in the reported results, including errors in the eigenvalue calculations, which play a crucial role in determining the bifurcation thresholds and the type of the bifurcations. In this contribution, we systematically address these issues, highlight the mathematical inaccuracies, and provide corrected results with proper explanations and justifications.

Keywords: Stability; Eigenvalue analysis; Bifurcation; Torus-doubling; Chaos; Lyapunov exponents (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:202:y:2026:i:p2:s0960077925016091

DOI: 10.1016/j.chaos.2025.117596

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