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A scaling analysis in the SIRI epidemiological model
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Orientador(es)
Resumo(s)
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.
Descrição
AMS Subject Classification: 34A34; 92D30; 92D25.
Palavras-chave
stochastic processes reinfection model pair approximation phase transition lines
Contexto Educativo
Citação
Martins, J., Pinto, A., & Stollenwerk, N. (2009). A scaling analysis in the SIRI epidemiological model. Journal of Biological Dynamics, 3(5), 479–496. https://doi.org/10.1080/17513750802601058
Editora
Taylor and Francis