Effect of the number of patches in a multi-patch SIRS model with fast migration on the basic reproduction rate
Graduate studies at Western
Acta Biotheoretica (forthcoming)
|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.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
S. Charles, R. Bravo de la Parra, J. P. Mallet, H. Persat & P. Auger (1998). Population Dynamics Modelling in an Hierarchical Arborescent River Network: An Attempt with Salmo Trutta. Acta Biotheoretica 46 (3).
C. P. Bhunu, W. Garira & G. Magombedze (2009). Mathematical Analysis of a Two Strain Hiv/Aids Model with Antiretroviral Treatment. Acta Biotheoretica 57 (3).
R. Mchich, P. Auger & N. Raïssi (2000). The Dynamics of a Fish Stock Exploited in Two Fishing Zones. Acta Biotheoretica 48 (3-4).
J.-C. Poggiale, P. Auger, D. Nérini, C. Manté & F. Gilbert (2005). Global Production Increased by Spatial Heterogeneity in a Population Dynamics Model. Acta Biotheoretica 53 (4).
Ángeles Rincón, Juan Antonio Alonso & Luis Sanz (2009). Reduction of Supercritical Multiregional Stochastic Models with Fast Migration. Acta Biotheoretica 57 (4).
Karine Chalvet-Monfray, Marc Artzrouni, Jean-Paul Gouteux, Pierre Auger & Philippe Sabatier (1998). A Two-Patch Model of Gambian Sleeping Sickness: Application to Vector Control Strategies in a Village and Plantations. Acta Biotheoretica 46 (3).
Peter Antonelli & Pierre Auger (1995). Corals and Starfish Devastation of the Great Barrier Reef: Aggregation Methods. Acta Biotheoretica 43 (4).
Pierre Auger & Jean-Christophe Poggiale (1996). Aggregation and Emergence in Hierarchically Organized Systems: Population Dynamics. Acta Biotheoretica 44 (3-4).
Added to index2009-01-28
Total downloads4 ( #189,291 of 739,406 )
Recent downloads (6 months)0
How can I increase my downloads?