English

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

Populations and Evolution 2017-10-11 v1 Classical Analysis and ODEs Dynamical Systems Probability

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.

Keywords

Cite

@article{arxiv.1704.01025,
  title  = {Comparison of mean-field based theoretical analysis methods for SIS model},
  author = {Jiaquan Zhang and Dan Lu and Shunkun Yang},
  journal= {arXiv preprint arXiv:1704.01025},
  year   = {2017}
}

Comments

11 pages, 5 figures

R2 v1 2026-06-22T19:07:20.135Z