2208.01980
A Comprehensive and Detailed Within-Host Modeling Study involving crucial biomarkers and Optimal Drug regimen for Type - I Lepra Reaction : A Deterministic Approach
Dinesh Nayak, Bishal Chhetri, D. K. K. Vamsi, Swapna Muthusamy, Vijay M. Bhagat
incompletemedium confidence
- Category
- Not specified
- Journal tier
- Specialist/Solid
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
Core results (R0, equilibria, DFE global stability, forward transcritical bifurcation) match and are essentially correct, but the paper’s proof of endemic equilibrium stability uses an invalid Descartes’ rule argument and the claimed GAS of the endemic equilibrium is only asserted by citation without details. The candidate solution supplies complete, standard arguments (Lyapunov/comparison and Routh–Hurwitz) and a clean bifurcation verification, so it is correct and more rigorous.
Referee report (LaTeX)
\textbf{Recommendation:} major revisions
\textbf{Journal Tier:} specialist/solid
\textbf{Justification:}
The manuscript correctly identifies the threshold dynamics and forward transcritical bifurcation for a standard three-dimensional within-host model. Positivity/boundedness and DFE global stability are clearly handled. However, the local stability proof of the endemic equilibrium is methodologically incorrect (Descartes’ rule is not a stability test), and the claimed global stability of the endemic state is only asserted by citation. A few typographical/notation lapses should be corrected. With a proper Routh–Hurwitz argument at the endemic equilibrium and either a complete endemic GAS proof or a moderated claim, the paper would be solid at the specialist level.