Kouokam E., Auger Pierre, Hbid H., Tchuente Maurice. (2008). Effect of the number of patches in a multi-patch SIRS model with fast migration on the basic reproduction rate. Acta Biotheoretica, 56 (1-2), p. 75-86. ISSN 0001-5342.
Titre du document
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
Source
Acta Biotheoretica, 2008,
56 (1-2), p. 75-86 ISSN 0001-5342
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.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
;
Santé : généralités [050]
