Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109205

Title:	Existence, uniqueness, monotonicity and asymptotic behaviour of travelling waves for epidemic models
Authors:	許正雄;Hsu, Cheng-Hsiung;Yang, Tzi-Sheng
Contributors:	理學院數學系
Keywords:	Asymptotic properties;Epidemics;Infinity;Mathematical models;Spreads;Theorems;Traveling waves;Uniqueness
Date:	2013-01-01
Issue Date:	2026-04-23 16:15:21 (UTC+8)
Publisher:	IOP Publishing Ltd.;IOP Publishing
Abstract:	摘要： The purpose of this work is to investigate the existence, uniqueness, monotonicity and asymptotic behaviour of travelling wave solutions for a general epidemic model arising from the spread of an epidemic by oral-faecal transmission. First, we apply Schauder's fixed point theorem combining with a supersolution and subsolution pair to derive the existence of positive monotone monostable travelling wave solutions. Then, applying the Ikehara's theorem, we determine the exponential rates of travelling wave solutions which converge to two different equilibria as the moving coordinate tends to positive infinity and negative infinity, respectively. Finally, using the sliding method, we prove the uniqueness result provided the travelling wave solutions satisfy some boundedness conditions. 其他題名： Non 其他題名： Nonlinearity 出版者： IOP Publishing 出版日期： 2013-01-01 出處： Nonlinearity, 2013-01, Vol.26 (1), p.121-139 資源來源： Institute of Physics Journals 版權： 2013 IOP Publishing Ltd & London Mathematical Society 識別號： ISSN: 0951-7715 識別號： EISSN: 1361-6544 識別號： DOI: 10.1088/0951-7715/26/1/121 識別號： CODEN: NONLE5
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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