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Large and moderate deviation principles for susceptible-infected-removed epidemic in a random environment |
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| Authors: | Xiaofeng XUE Yumeng SHEN |
| Institution: | School of Science, Beijing Jiaotong University, Beijing 100044, China |
| 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 |
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