2403.13364
Analysis of a class of Kolmogorov systems
G. Moza, C. Lazureanu, F. Munteanu, C. Sterbeti, A. Florea
correctmedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper proves T3 is a transcritical bifurcation curve via Sotomayor’s conditions with δ1≠0, 2N−δθ2≠0, and provides explicit leading-order expressions for C1=0, C2≠0, C3≠0. The candidate solution reproduces the same eigen-structure, parametrization of T3, and the same Sotomayor checks, differing only in minor algebraic presentation of C3 but reaching the identical conclusion.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The paper provides a correct and careful analysis of degenerate bifurcations in a Kolmogorov system. The classification of T3 as a transcritical curve is rigorous and well-grounded in Sotomayor’s theorem. Exposition could be slightly refined to clarify dominance of leading terms and the role of side conditions like δμ2>0 when first used. Within its niche, the contribution is solid and useful.