Behavioral-feedback SIR epidemic model: analysis and control
Populations and Evolution
2025-09-17 v1 Systems and Control
Systems and Control
Dynamical Systems
Abstract
This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of infection. We further examine the system under a threshold constraint on the infection level. Based on this analysis, we formulate an optimal control problem to keep the infection curve below a healthcare capacity threshold while minimizing the economic cost. For this problem, we study a feasible strategy that involves applying the minimal necessary restrictions to meet the capacity constraint and characterize the corresponding cost.
Cite
@article{arxiv.2509.12257,
title = {Behavioral-feedback SIR epidemic model: analysis and control},
author = {Martina Alutto and Leonardo Cianfanelli and Giacomo Como and Fabio Fagnani and Francesca Parise},
journal= {arXiv preprint arXiv:2509.12257},
year = {2025}
}
Comments
6 pages, 1 figure