Departamento de Matemática, Escola Superior de Tecnologia e Gestão, Instituto Politécnico de Leiria, Leiria, Portugal.
J Biol Dyn. 2009 Sep;3(5):479-96. doi: 10.1080/17513750802601058.
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.
对于空间随机传染病再感染模型 SIRI，易感染者 S 可以感染 I，然后恢复并仅对再感染 R 保持部分免疫，我们使用从主方程推导出的矩的配对逼近来确定相变线。我们引入了一个标度论点，允许我们分析地确定这些相变线的显式公式，并严格证明以前获得的启发式结果。
