@article{fdi:010042615,
  title = {{E}ffect of the number of patches in a multi-patch {SIRS} model with fast migration on the basic reproduction rate},
  author = {{K}ouokam, {E}. and {A}uger, {P}ierre and {H}bid, {H}. and {T}chuente, {M}aurice},
  editor = {},
  language = {{ENG}},
  abstract = {{W}e 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. {W}hen 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. {A}nalysis of the aggregated model then shows that the two-patch basic reproduction rate is smaller than the 1 patch one. {W}e extend this result to a linear chain of {P} patches ({P} > 2). {T}hese results are illustrated by some examples for which numerical integration of the system of ordinary differential equations is performed. {S}imulations of an individual based model implemented with a multi-agent system are also carried out.},
  keywords = {{SIRS} model ; two patch system ; linear chain of patches ; fast migration ; aggregation of variables ; basic reproduction rate ; individual based model ; multi agent simulations},
  booktitle = {},
  journal = {{A}cta {B}iotheoretica},
  volume = {56},
  numero = {1-2},
  pages = {75--86},
  ISSN = {0001-5342},
  year = {2008},
  DOI = {10.1007/s10441-008-9036-y},
  URL = {https://www.documentation.ird.fr/hor/fdi:010042615},
}