Infection Threshold for an Epidemic Model in Site and Bond Percolation Worlds

Sakisaka Yukio
Yoshimura Jin
Takeuchi Yasuhiro
Sugiura Koji
Tainaka Kei-ichi

We investigate an epidemic model on a square lattice with two protection treatments: prevention and quarantine. To explore the effects of both treatments, we apply the site and bond percolations. Computer simulations reveal that the threshold between endemic and disease-free phases can be represented by a single scaling law. The mean-field theory qualitatively predicts such infection dynamics and the scaling law.

J Phys Soc Jpn

Physical Society of Japan

10.1143/JPSJ.79.023002

https://doi.org/10.1143/JPSJ.79.023002
http://ci.nii.ac.jp/naid/150000089278