On global and local critical points of extended contact process on homogeneous trees

Nobuaki Sugimine*, Naoki Masuda, Norio Konno, Kazuyuki Aihara

*この研究の対応する著者

研究成果査読

4 被引用数 (Scopus)

抄録

We study spatial stochastic epidemic models called households models. The households models have more than two states at each vertex of a graph in contrast to the contact process. We show that, in the households models on trees, two thresholds of infection rates characterize epidemics. The global critical infection rate is defined by epidemic occurrence. However, some households may be eventually disease-free even for infection rates above the global critical infection rate, in as far as they are smaller than the local critical point. Whether the global one is smaller than the local one depends on the graph and the model. We show that, in the households models, the global one is smaller than the local one on homogeneous trees.

本文言語English
ページ(範囲)13-17
ページ数5
ジャーナルMathematical Biosciences
213
1
DOI
出版ステータスPublished - 2008 5
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • モデリングとシミュレーション
  • 生化学、遺伝学、分子生物学(全般)
  • 免疫学および微生物学(全般)
  • 農業および生物科学(全般)
  • 応用数学

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