New Insights into an Epidemic SIR Model for Control and Public Health Intervention

A susceptible, infectious, removed (SIR) model for the spread of directly transmitted disease caused by pathogens such as bacteria, viruses, and fungi is considered. The nonlinear state equations are feedback linearizable resulting in second order dynamics that can be controlled to achieve constant setpoint tracking. Although the model’s transmission rate $\beta$(t) is not a control input in the t...