某類傳染病模型微分方程行波解之研究;Traveling Wave Solutions for Some EpidemicModels

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/54317

Title:	某類傳染病模型微分方程行波解之研究;Traveling Wave Solutions for Some EpidemicModels
Authors:	郭權緻;Kuo,Chuan-chih
Contributors:	數學研究所
Keywords:	monotone iterations;上解;下解;行進波;傳染病模型;upper and lower;traveling wave;epidemic model
Date:	2012-07-12
Issue Date:	2012-09-11 18:44:23 (UTC+8)
Publisher:	國立中央大學
Abstract:	在本篇論文中，我們主要研究某類傳染病模型的微分方程，其行波解的存在且該行波解為monotonic。利用monotone iteration這個方法，結合我們所建構的上解和下解，證明當存在最小的波速c* ，而且當波速高於最小波速c* 時，行波解是存在的。The purpose of this thesis is to investigate the existence of monotonic travelingwave solutions for some epidemic models. Using the monotone iteration method,combining with a pair of upper solution and lower solution, we show that thereexist a minimal wave speed c* such that if the wave speed is greater than c* ,then there exist monotone traveling wave solutions.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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