## View abstract

### Session S01 - Modeling and Computation for Control and Optimization of Biological and Physical Systems

Thursday, July 15, 12:30 ~ 12:55 UTC-3

## Coupling epidemiological models with social dynamics

### Nicolas Saintier

We derive a set of two ordinary differential equations describing the dynamic of the proportion of the number of infected individuals and the mean value of the effort parameter, and analyze the equilibria of the system. The results we obtain are in complete agreement with the simulations of the agent-based model, and show that the social dynamic strongly mitigates the impact of the disease. This is quanified by a modified $R_0$ number we call the behaviorally reduced reproduction number.