Large and moderate deviations for empirical density fields of stochastic SEIR epidemics with vertex-dependent transition rates
Probability
2023-05-02 v1
Abstract
In this paper, we are concerned with stochastic susceptible-exposed-infected-removed epidemics on complete graphs with vertex-dependent transition rates. Large and moderate deviations of empirical density fields of our models are given. Proofs of our main results utilize exponential martingale strategies. Mathematical difficulties are mainly in checks of exponential tightness of fluctuation density fields of our processes. As an application of our main results, moderate deviations of a family of hitting times of our processes are also given.
Keywords
Cite
@article{arxiv.2305.00361,
title = {Large and moderate deviations for empirical density fields of stochastic SEIR epidemics with vertex-dependent transition rates},
author = {Xiaofeng Xue and Xueting Yin},
journal= {arXiv preprint arXiv:2305.00361},
year = {2023}
}
Comments
54 pages