On an agent-based SIR model for multi-populations

In this paper, we investigate the impact of epidemic spread in a SIR type model with saturation between multiple interacting populations. The model is derived from an average threshold that considers multiple agents. Theoretical analysis confirms the model's well-posedness, indicating that it possesses a unique solution that varies continuously on the basis of the initial conditions and parameters. Additionally, we conduct numerical simulations for a scenario involving two circulating strains, where we also explore the scenario in which the disease mutates upon transmission, leading to increased transmissibility. A comparison between the dynamics of the SIR model with and without saturation reveals that saturation results in a milder disease dynamics.