2408.05397
Design and Financial Analysis of a Health Insurance Based on an SIH-Type Epidemic Model
Jonathan Hoseana, Felivia Kusnadi, Gracia Stephanie, Levana Loanardo, Catherine Wijaya
correctmedium confidence
- Category
- math.DS
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper and the candidate solution derive the same equilibria and basic reproduction number, obtain identical Jacobians/eigenvalues at the disease-free equilibrium, and prove local asymptotic stability of the endemic equilibrium via the cubic Routh–Hurwitz criterion using closely parallel coefficient calculations. No substantive discrepancies were found.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The paper’s mathematical analysis (equilibria, R0, and local stability) is correct and aligns with established dynamical systems techniques. The stability proofs are sound; presenting the positivity checks for the Routh–Hurwitz inequalities more transparently would enhance clarity. The integration with an insurance design and the discrete compounding/sensitivity analysis provide applied value.