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Title: SIS模型之旅行波解
Authors: 符聖珍
Contributors: 應數系
Keywords: 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
Date: 2016
Issue Date: 2017-05-18 09:52:01 (UTC+8)
Abstract: 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.
Relation: MOST 104-2115-M-004-002
Data Type: report
Appears in Collections:[應用數學系] 國科會研究計畫

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