RESEARCH ARTICLE

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

  • Xiaofeng XUE ,
  • Yumeng SHEN
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  • School of Science, Beijing Jiaotong University, Beijing 100044, China

Received date: 01 Feb 2020

Accepted date: 18 Jul 2021

Copyright

2021 Higher Education Press

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].

Cite this article

Xiaofeng XUE , Yumeng SHEN . Large and moderate deviation principles for susceptible-infected-removed epidemic in a random environment[J]. Frontiers of Mathematics in China, 2021 , 16(4) : 1117 -1161 . DOI: 10.1007/s11464-021-0958-x

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