2403.20069
Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models
P.A. Bliman, N. Nguyen, N. Vauchelet
correctmedium confidence
- Category
- math.DS
- Journal tier
- Strong Field
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper’s Step 1 establishes extinction once the mating fractions satisfy Mi/(Mi+γMsi)≤1/N by replacing the fractions with 1/N, proving the modified system has only the zero equilibrium and is globally attractive via monotone systems arguments; Step 2 then constructs constant/impulsive releases ensuring those bounds on Msi, yielding the thresholds with τi and τper_i. The candidate solution proves the same Step 1 via a clean Lyapunov argument (V=aSE+SF) and the same Step 2 sterile linear-subsystem bounds, arriving at identical thresholds and conclusions. There is a minor typographical slip in the paper’s expression for Ms(t) in the constant-release proof, but it does not affect the result.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} strong field
\textbf{Justification:}
The paper provides rigorous and practically relevant conditions for SIT-driven elimination in a two-patch setting with inaccessible areas, using monotone dynamical systems and linear analysis of the sterile subsystem. The results are correct and useful, with explicit thresholds for both constant and impulsive releases. A minor typographical correction and small clarifications would further improve clarity.