2504.09078
Role of Intra-specific Competition and Additional Food on Prey-Predator Systems exhibiting Holling Type-IV Functional Response
D Bhanu Prakash, D K K Vamsi
correcthigh confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper and the model both compute the Jacobian at the interior equilibrium E*, substitute the equilibrium equalities to simplify entries, and derive the same ε-thresholds for Det(J)>0 and Tr(J)<0. The classification in Theorem 5.4 of the paper matches the model’s three cases exactly. Minor algebraic steps in the paper’s trace simplification are terse, but the final thresholds (equations (11) and (12)) align with the model’s expressions and the planar linearization test.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The analytical path and stability thresholds are correct and align with established methodology for planar systems. The derivations of Det(J)>0 and Tr(J)<0 at the interior equilibrium are sound and match the model’s calculations. A few algebraic transitions in the paper could be expanded for clarity, but they do not affect the final results. The work is solid and useful to specialists studying control of predator–prey systems with additional food and intraspecific effects.