A scaling analysis in the SIRI epidemiological model.

• Type: Article in International Scientific Journal
• Date: 2009

Authors

Martins, J (Author) Other; Pinto, A (Author) FCUP; Stollenwerk, N (Author) Other

Journal

Title: Journal of Biological Dynamics

Vol. 3

Pages: 479-496

ISSN: 1751-3758

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge

Scopus - 14 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-007-W84

DOI: 10.1080/17513750802601058

Resumo (PT): 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.

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific