A scaling analysis in the SIRI epidemiological model

Pinto, Alberto; Stollenwerk, Nico; Gouveia Martins, José Maria; Martins, José

http://hdl.handle.net/10400.8/12742

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
A scaling analysis in the SIRI epidemiological model.pdf		321.53 KB	Adobe PDF	Download

Send Feedback

Authors

Pinto, Alberto

Stollenwerk, Nico

Gouveia Martins, José Maria

Martins, José

Abstract(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.

Description

AMS Subject Classification: 34A34; 92D30; 92D25.

Keywords

stochastic processes reinfection model pair approximation phase transition lines

URI

http://hdl.handle.net/10400.8/12742

Citation

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