Please use this identifier to cite or link to this item:
https://hdl.handle.net/10216/96622
Author(s): | Martins, J Pinto, A Stollenwerk, N |
Title: | A scaling analysis in the SIRI epidemiological model. |
Issue Date: | 2009 |
Abstract: | For the spatial stochastic epidemic reinfection model SIRI, where susceptibles S can become infected I, then recover and remain only partial immune against reinfection R, we determine the phase transition lines using pair approximation for the moments derived from the master equation. We introduce a scaling argument that allows us to determine analytically an explicit formula for these phase transition lines and prove rigorously the heuristic results obtained previously. |
Description: | For the spatial stochastic epidemic reinfection model SIRI, where susceptibles S can become infected I, then recover and remain only partial immune against reinfection R, we determine the phase transition lines using pair approximation for the moments derived from the master equation. We introduce a scaling argument that allows us to determine analytically an explicit formula for these phase transition lines and prove rigorously the heuristic results obtained previously. |
Subject: | Matemática Mathematics |
Scientific areas: | Ciências exactas e naturais::Matemática Natural sciences::Mathematics |
URI: | https://hdl.handle.net/10216/96622 |
Document Type: | Artigo em Revista Científica Internacional |
Rights: | restrictedAccess |
Appears in Collections: | FCUP - Artigo em Revista Científica Internacional |
Files in This Item:
File | Description | Size | Format | |
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48250.pdf Restricted Access | 176.68 kB | Adobe PDF | Request a copy from the Author(s) |
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