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

doi:10.1007/s11464-021-0958-x

Front. Math. China

2021, Vol. 16

Issue (4) : 1117-1161 https://doi.org/10.1007/s11464-021-0958-x

RESEARCH ARTICLE

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

Xiaofeng XUE(

), Yumeng SHEN

School of Science, Beijing Jiaotong University, Beijing 100044, China

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Abstract

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] and X. F. Xue [Stochastic Process. Appl., 2019, 140: 49-80].

Keywords large deviation moderate deviation susceptible-infected-removed (SIR) epidemic random environment

Corresponding Author(s): Xiaofeng XUE

Issue Date: 11 October 2021

Cite this article:

Xiaofeng XUE,Yumeng SHEN. Large and moderate deviation principles for susceptible-infected-removed epidemic in a random environment[J]. Front. Math. China, 2021, 16(4): 1117-1161.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0958-x
https://academic.hep.com.cn/fmc/EN/Y2021/V16/I4/1117

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