Epidemic processes on self-propelled particles: Continuum and agent-based modeling

Most spreading processes require spatial proximity between agents. The stationary state of dynamics in a population mobile agents thus depends on the interplay time and length scales involved epidemic process their motion space. We analyze steady properties resulting from such simple model describing (modeled as susceptible-infected-susceptible process) self-propelled particles (performing run-and-tumble motion). Focusing our attention diffusive long-time regime, we find that agents' changes qualitatively nature transition an inactive phase to active one, characterized by emergence macroscopic fraction infected Indeed, becomes mean-field type for diffusing two, three dimensions, while, absence motion, outbreak dimension underlying static network determined fixed locations. insights obtained continuum description system are validated numerical simulations agent-based model. Our work aims at establishing connection research fields soft matter physics theoretical epidemiology, may be interest both communities.