title: A scaling analysis in the SIRI epidemiological model.
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.
authors.affiliation: Departamento de Matemática, Escola Superior de Tecnologia e Gestão, Instituto Politécnico de Leiria, Leiria, Portugal. jmmartins@estg.ipleiria.pt
authors.forename: José
authors.initials: J
authors.lastname: Martins
authors.forename: Alberto
authors.initials: A
authors.lastname: Pinto
authors.forename: Nico
authors.initials: N
authors.lastname: Stollenwerk
mesh_terms: D016021:Epidemiologic Studies; D015233:Models, Statistical; D013269:Stochastic Processes