On the Spatio-temporal Structure in the Stochastic Diffusive SI Model

• Ishikawa Masaaki

  Graduate School of Science and Engineering, Yamaguchi University

抄録

In this paper, a stochastic diffusive infectious model in the population consisting of the susceptible and the infective is proposed. We consider the proliferation with the strong Allee effect, which means that there exists the optimal population density maximizes the per capita proliferation rate and it becomes negative at the low population density. By numerical simulations, we show that spatio-temporal patterns of the epidemic spreading process become the fractal structure like the Sierpinski gasket in some restricted parameter range and the patterns under the noise are very different from ones in the no noise case in the other restricted parameter range.

収録刊行物

• Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications

  Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 2009 (0), 276-281, 2009-05-05

  システム制御情報学会ストカスティックシステムシンポジウム

キーワード

• Materials Science (miscellaneous)

詳細情報

• CRID: 1390564237987738240
• NII論文ID: 130007377334
• DOI: 10.5687/sss.2009.276
• ISSN: 21884749
• ISSN: 21884730
• Web Site: https://www.jstage.jst.go.jp/article/sss/2009/0/2009_276/_pdf
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可