A scaling analysis in the SIRI epidemiological model.

• Tipo: Artigo em Revista Científica Internacional
• Data: 2009

Autores

Martins, J (Autor) Outra; Pinto, A (Autor) FCUP; Stollenwerk, N (Autor) Outra

Revista

Título: Journal of Biological Dynamics

Vol. 3

Páginas: 479-496

ISSN: 1751-3758

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge

Scopus - 14 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica