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Effect of the number of patches in a multi-patch SIRS model with fast migration on the basic reproduction rate
Abstract : 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.
Cited literature [12 references]
https://hal.ird.fr/ird-00296726
Contributor : Caroline Doucoure <>
Submitted on : Tuesday, July 15, 2008 - 11:29:08 AM
Last modification on : Wednesday, July 8, 2020 - 12:43:07 PM
Document(s) archivé(s) le : Friday, May 28, 2010 - 8:47:05 PM
Contributor : Caroline Doucoure <>
Submitted on : Tuesday, July 15, 2008 - 11:29:08 AM
Last modification on : Wednesday, July 8, 2020 - 12:43:07 PM
Document(s) archivé(s) le : Friday, May 28, 2010 - 8:47:05 PM
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