We successfully establish a theoretical framework of pairwise approximation for the vaccination game in which both the dynamic process of epidemic spread and individual actions in helping prevent social behaviours are quantitatively evaluated. In contrast with mean-field approximation, our model captures higher-order effects from neighbours by using an underlying network that shows how the disease spreads and how individual decisions evolve over time. This model considers not only imperfect vaccination but also intermediate protective measures other than vaccines. Our analytical predictions are validated by multi-agent simulation results that estimate random regular graphs at varying degrees.
|ジャーナル||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|出版ステータス||出版済み - 2 3 2021|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)