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DY: Fachverband Dynamik und Statistische Physik

DY 1: Statistical Physics of Biological Systems I (with BP, talks from DY)

DY 1.7: Vortrag

Montag, 26. März 2012, 11:00–11:15, MA 001

The role of diffusion in the SIRS epidemic model — Fernando Peruani¹ and •Chiu Fan Lee² — ¹Lab. J.A.Dieudonné, Université de Nice - Sophia Antipolis — ²Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

In the well-mixed limit of the classical SIRS epidemic model, an initial epidemic outbreak will persist if the basic reproductive number is larger than 1. This quantity indicates the number of secondary cases caused by an infected individual and is believed to depend exclusively on the parameters relevant to the spreading of the disease. If the individuals in the system also diffuse, it is unclear how this epidemic threshold will be affected. In this work, we perform extensive lattice-based simulations to demonstrate that the epidemic threshold and the average number of infected individuals are in fact strongly affected by the diffusion coefficient, D, exhibited by the agents. We then support our numerical results with field-theoretic analysis.