Effect of the number of patches in a multi-patch SIRS model with fast migration on the basic reproduction rate - Archive ouverte HAL Access content directly
Journal Articles Acta Biotheoretica Year : 2008

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.
Fichier principal
Vignette du fichier
Kouokam_ActaBiotheoretica_Corrected.pdf (200.56 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

ird-00296726 , version 1 (15-07-2008)

Identifiers

Cite

Etienne Kouokam, Pierre Auger, Hassan Hbid, Maurice Tchuente. Effect of the number of patches in a multi-patch SIRS model with fast migration on the basic reproduction rate. Acta Biotheoretica, 2008, 56 (1-2), pp.75-86. ⟨10.1007/s10441-008-9036-y⟩. ⟨ird-00296726⟩
283 View
538 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More