Authors: H El Mahjour, A Lahrouz, O Zakary and Mariam Redouane ↩

Abstract

This study contributes to epidemic control literature by introducing a time-varying inci- dence rate and establishing global controllability of the nonlinear SIR system, offering a practical framework for adaptive control strategies. We derive explicit solutions for partial controllability, demonstrating the feasibility of controlling the infected population, pro- viding guidance for outbreak management. Numerical methods exploiting an algorithmic approach achieve full control, targeting a desired state (Sd, Id). A novel hybrid method integrates analytical solutions with algorithmic optimization, leveraging explicit expres- sions for I(t) and S(t) to enhance precision and efficiency of epidemic control strategies, advancing adaptive management approaches

Reference

Journal of mathematical modeling (2025): 7(2):583-601. DOI: 10.22124/jmm.2025.31390.2818 ↩