聖塔非研究所

摘要 滲流 on two dimensional small world 網絡s has been pr

2002 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 滲流 on two dimensional small world 網絡s has been proposed as a model for the spread of plant 疾病s. In this paper we give an analytic solution of this model using a combination of generating …

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論文資訊

  • 類型:已發表論文
  • 日期:2002

摘要

滲流 on two-dimensional small-world 網絡s has been proposed as a model for the spread of plant 疾病s. In this paper we give an analytic solution of this model using a combination of generating function methods and high-order series expansion. Our solution gives accurate predictions for quantities such as the position of the 滲流 threshold and the typical size of 疾病 outbreaks as a function of the density of "shortcuts" in the small-world 網絡. Our results agree with 縮放律 hypotheses and numerical simulations for the same model.

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