Large and moderate deviation principles for susceptible-infected-removed epidemic in a random environment

摘要

We are concerned with SIR epidemics in a random environment on complete graphs, where edges are assigned with i.i.d. weights. Our main results give large and moderate deviation principles of sample paths of this model. Our results generalize large and moderate deviation principles of the classic SIR models given by E. Pardoux and B. Samegni-Kepgnou [J. Appl. Probab., 2017, 54: 905-920] X. F. Xue [Stochastic Process. Appl., 2019, 140: 49-80].