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Equilibrium properties of the spatial SIS model as a point pattern dynamics : How is infection distributed over space? [Author Ver.]
http://hdl.handle.net/10935/0002005794
http://hdl.handle.net/10935/000200579457dbec23-657b-42c1-b726-2ee44f0bfbfb
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
AA00708258V468pp12-26AuthorVer.pdf (6.6 MB)
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| アイテムタイプ | default_学術雑誌論文 / Journal Article(1) | |||||||||||
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| タイトル | ||||||||||||
| タイトル | Equilibrium properties of the spatial SIS model as a point pattern dynamics : How is infection distributed over space? [Author Ver.] | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Epidemiology | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Distance-dependent interactions | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Spatial population dynamics | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | Spatial ecology | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | journal article | |||||||||||
| 著者 |
濱田, 実樹
× 濱田, 実樹
× 高須, 夫悟 |
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| 抄録 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | We revisit the classical epidemiological SIS model as a stochastic point pattern dynamics with special focus on its spatial distribution at equilibrium. In this model, each point on a continuous space is either susceptible S or infectious I, and infection occurs with an infection kernel as a function of distance from I to S. This stochastic process has been mathematically described by the hierarchical dynamics of the probabilities that a point, a pair made by two points, and a triplet made by three points, etc., is in a specific configuration of status. Using a simple closure thereby triplet probabilities that appear in the dynamics are approximated, we show that the average singlet probabilities and the pair probabilities that describe spatial distributions of Ss and Is at equilibrium can be explicitly derived using the infection kernel; Is are spatially clustered in the same order of the infection kernel. The results highlight the advantage of point pattern approach to model spatial population dynamics in general ecology where local interactions among individuals likely depend on distance between them. | |||||||||||
| 言語 | en | |||||||||||
| 内容記述 | ||||||||||||
| 内容記述タイプ | Other | |||||||||||
| 内容記述 | This document is the unedited Author' s version of a Submitted Work that was subsequently accepted for publication in Journal of Theoretical Biology, copyright "Elsevier B.V." after peer review. To access the final edited and published work see "https://doi.org/10.1016/j.jtbi.2019.02.005" | |||||||||||
| 言語 | en | |||||||||||
| bibliographic_information |
en : Journal of Theoretical Biology 巻 468, p. 12-26, 発行日 2019-05-07 |
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| 出版者 | ||||||||||||
| 出版者 | Elsevier B.V. | |||||||||||
| 言語 | en | |||||||||||
| item_10001_source_id_9 | ||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||
| 収録物識別子 | 0022-5193 | |||||||||||
| item_10001_relation_14 | ||||||||||||
| 関連タイプ | isVersionOf | |||||||||||
| 識別子タイプ | DOI | |||||||||||
| 関連識別子 | https://doi.org/10.1016/j.jtbi.2019.02.005 | |||||||||||
| 関連名称 | 10.1016/j.jtbi.2019.02.005 | |||||||||||
| 権利 | ||||||||||||
| 権利情報Resource | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja | |||||||||||
| 権利情報 | 表示-非営利-改変禁止 4.0 国際 (CC BY-NC-ND 4.0) | |||||||||||
| 言語 | ja | |||||||||||
| 出版タイプ | ||||||||||||
| 出版タイプ | AM | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||||
