Numerical study of a three-state host-parasite system on the square lattice

Takehisa Hasegawa*, Norio Konno, Naoki Masuda

*この研究の対応する著者

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We numerically study the phase diagram of a three-state host-parasite model on the square lattice motivated by population biology. The model is an extension of the contact process, and the three states correspond to an empty site, a host, and a parasite. We determine the phase diagram of the model by scaling analysis. In agreement with previous results, three phases are identified: the phase in which both hosts and parasites are extinct (S 0), the phase in which hosts survive but parasites are extinct (S01), and the phase in which both hosts and parasites survive (S012). We argue that both the S0-S01 and S01-S012 boundaries belong to the directed percolation class. In this model, it has been suggested that an excessively large reproduction rate of parasites paradoxically extinguishes hosts and parasites and results in S0. We show that this paradoxical extinction is a finite size effect; the corresponding parameter region is likely to disappear in the limit of infinite system size.

本文言語English
論文番号046102
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
83
4
DOI
出版ステータスPublished - 2011 4月 6
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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