Effect of the number of patches in a multi-patch SIRS model with fast migration on the basic reproduction rate Kouokam, E. /Auger, Pierre Hbid, H. /Tchuente, Maurice SIRS model two patch system linear chain of patches fast migration aggregation of variables basic reproduction rate individual based model multi agent simulations We consider a two-patch epidemiological system where individuals can move from one patch to another, and local interactions between the individuals within a patch are governed by the classical SIRS model. When the time-scale associated with migration is much smaller than the time-scale associated with infection, aggregation methods can be used to simplify the initial complete model formulated as a system of ordinary differential equations. Analysis of the aggregated model then shows that the two-patch basic reproduction rate is smaller than the 1 patch one. We extend this result to a linear chain of P patches (P > 2). These results are illustrated by some examples for which numerical integration of the system of ordinary differential equations is performed. Simulations of an individual based model implemented with a multi-agent system are also carried out. 2008 text https://www.documentation.ird.fr/hor/fdi:010042615 fdi:010042615 Kouokam E., Auger Pierre, Hbid H., Tchuente Maurice. Effect of the number of patches in a multi-patch SIRS model with fast migration on the basic reproduction rate. 2008, 56 (1-2), 75-86 EN