Vaccinating behaviour guided by imitation and aspiration: Vaccinating behav. - Imit. And asp.

Md Rajib Arefin, Tanaka Masaki, Jun Tanimoto

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

Vaccinating decisions can be influenced by imitation as well as self-evaluation or aspiration. This work analyses vaccinating behaviours by coupling both imitation and aspiration update rules, adopting an existing set-up of the mean-field vaccination game. We incorporate the imitation mechanism with several variants of the aspiration protocol, encompassing constant and adaptive aspirations. Equations of the combined dynamics have been derived by grouping the population according to (i) vaccinating strategies and (ii) healthy and infected status within each strategy. If aspiration levels are fixed but differentiated by vaccinating strategies, then vaccinators aspiring less than non-vaccinators are found to ameliorate the vaccination coverage, thereby yielding a less infectious state. The adaptive aspirations maintain a positive correlation with the vaccine efficacy while keeping the opposite relation with vaccination cost. When vaccinating strategies, aspirations and update rules are allowed to evolve synchronously, then either the imitation or aspiration process takes over the entire population. If aspiration rules prevail, then vaccinees and non-vaccinees coexist equally (according to (i)) or vaccine uptake follows a non-monotonic trend with the efficacy (according to (ii)). The imitative rule performs better when vaccination is less expensive or cheap, while aspiration updating safeguards the tenacity of vaccinees despite vaccination being expensive.

本文言語英語
論文番号0327
ジャーナルProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
476
2239
DOI
出版ステータス出版済み - 7 2020

All Science Journal Classification (ASJC) codes

  • 数学 (全般)
  • 工学(全般)
  • 物理学および天文学(全般)

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