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題名 SIS模型之旅行波解
作者 符聖珍
貢獻者 應數系
關鍵詞 SIS模型; 行進波; 傳遞速度; 上/下解; Schauder定點定理
SIS model; Traveling wave; Spreading speed; Super/subsolution; Schauder fixed point theorem
日期 2016
上傳時間 18-五月-2017 09:52:01 (UTC+8)
摘要 本計畫中,我們是探討流行病感染者痊癒後不具免疫力的一個具擴散性之SIS模型,此模型沒有比較原理,我們證明了存在連結流行均衡點及非流行均衡點之行進波解。
We study a diusive SIS model for a disease that the infectives recover with no immunity against reinfection. Such a SIS model does not enjoy the comparison principle. We analytically show that
there exists a family of traveling waves connecting the endemic equilibrium with the disease-free equilibrium.
關聯 MOST 104-2115-M-004-002
資料類型 report
dc.contributor 應數系
dc.creator (作者) 符聖珍zh_TW
dc.date (日期) 2016
dc.date.accessioned 18-五月-2017 09:52:01 (UTC+8)-
dc.date.available 18-五月-2017 09:52:01 (UTC+8)-
dc.date.issued (上傳時間) 18-五月-2017 09:52:01 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/109769-
dc.description.abstract (摘要) 本計畫中,我們是探討流行病感染者痊癒後不具免疫力的一個具擴散性之SIS模型,此模型沒有比較原理,我們證明了存在連結流行均衡點及非流行均衡點之行進波解。
dc.description.abstract (摘要) We study a diusive SIS model for a disease that the infectives recover with no immunity against reinfection. Such a SIS model does not enjoy the comparison principle. We analytically show that
there exists a family of traveling waves connecting the endemic equilibrium with the disease-free equilibrium.
dc.format.extent 483720 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) MOST 104-2115-M-004-002
dc.subject (關鍵詞) SIS模型; 行進波; 傳遞速度; 上/下解; Schauder定點定理
dc.subject (關鍵詞) SIS model; Traveling wave; Spreading speed; Super/subsolution; Schauder fixed point theorem
dc.title (題名) SIS模型之旅行波解
dc.type (資料類型) report