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] X. F. Xue [Stochastic Process. Appl., 2019, 140: 49–80].
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Acknowledgements
The authors are grateful to the referees. Their comments were of great help for the improvement of this paper. This work was supported by the National Natural Science Foundation of China (Grant No. 11501542).
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Xue, X., Shen, Y. Large and moderate deviation principles for susceptible-infected-removed epidemic in a random environment. Front. Math. China 16, 1117–1161 (2021). https://doi.org/10.1007/s11464-021-0958-x
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DOI: https://doi.org/10.1007/s11464-021-0958-x