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arXiv · 1704.01025

Comparison of mean-field based theoretical analysis methods for SIS model

Jiaquan Zhang·Dan Lu·Shunkun Yang
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Abstract

Epidemic spreading has been intensively studied in SIS epidemic model. Although the mean-field theory of SIS model has been widely used in the research, there is a lack of comparative results between different theoretical calculations, and the differences between them should be systematically explained. In this paper, we have compared different theoretical solutions for mean-field theory and explained the underlying reason. We first describe the differences between different equations for mean-field theory in different networks. The results show that the difference between mean-field reaction equations is due to the different probability consideration for the infection process. This finding will help us to design better theoretical solutions for epidemic models.

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Jiaquan Zhang, Dan Lu, Shunkun Yang. 2017-04-04. Comparison of mean-field based theoretical analysis methods for SIS model. https://doi.org/10.1016/j.chaos.2017.08.001

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