Behavioral-feedback SIR epidemic model: analysis and control
By: Martina Alutto , Leonardo Cianfanelli , Giacomo Como and more
Potential Business Impact:
Controls sickness spread to save money and lives.
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.
Similar Papers
Optimal Control of an SIR Model with Noncompliance as a Social Contagion
Systems and Control
Helps stop sickness by tracking how people follow rules.
Fundamental limits on taming infectious disease epidemics
Populations and Evolution
Stop changing rules; one steady rule works best.
A Human-Vector Susceptible-Infected-Susceptible Model for Analyzing and Controlling the Spread of Vector-Borne Diseases
Systems and Control
Predicts how diseases spread between people and bugs.