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傳染病的數學模型—延伸的SIR模型 = A mathematical m...

國立高雄大學應用數學系碩士班

傳染病的數學模型—延伸的SIR模型 = A mathematical model for infectious diseases -- an extended SIR model

Record Type:	Language materials, printed : monographic
Paralel Title:	A mathematical model for infectious diseases -- an extended SIR model
Author:	黃泰瑋,
Secondary Intellectual Responsibility:	國立高雄大學
Place of Publication:	[高雄市]
Published:	撰者;
Year of Publication:	2008[民97]
Description:	28面圖，表 : 30公分;
Subject:	傳染性的
Subject:	infectious
Online resource:	http://handle.ncl.edu.tw/11296/ndltd/38508461298937725584
Notes:	指導教授：陳晴玉
Notes:	參考書目：面20
Notes:	附錄：A more complete model
Summary:	這個模型是為了探討一種可能產生威脅的傳染病，而病毒在未突變之前無法在人類之間傳染。因此導出一個延伸的SIR模型，在這個模型裡，可被感染者與感染者皆被分為兩類。在之後的分析中我們得知在流行病發生前會有一段延緩的時間。這個模型後來會被延伸來研究隔離和疫苗接種對於疾病防治的影響。 The model studies the outbreak of an infectious disease which is not transmissible between humans until the virus has mutated. An extended SIR model is derived in which both the susceptibles and the infectives are divided into two classes. The analysis points out a time delay before the disease taking off. Epidemic size and the maximum level of the infectives are also estimated. The model is further extended to investigate the efficiency of quarantine and vaccination schemes for controlling the effect of the disease.

傳染病的數學模型—延伸的SIR模型 = A mathematical model for infectious diseases -- an extended SIR model
黃, 泰瑋

傳染病的數學模型—延伸的SIR模型 = A mathematical model for infectious diseases -- an extended SIR model / 黃泰瑋撰 - [高雄市] : 撰者, 2008[民97]. - 28面 ; 圖，表 ; 30公分.
指導教授：陳晴玉參考書目：面20附錄：A more complete model.
傳染性的infectious

傳染病的數學模型—延伸的SIR模型 = A mathematical model for infectious diseases -- an extended SIR model
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330 $a 這個模型是為了探討一種可能產生威脅的傳染病，而病毒在未突變之前無法在人類之間傳染。因此導出一個延伸的SIR模型，在這個模型裡，可被感染者與感染者皆被分為兩類。在之後的分析中我們得知在流行病發生前會有一段延緩的時間。這個模型後來會被延伸來研究隔離和疫苗接種對於疾病防治的影響。 The model studies the outbreak of an infectious disease which is not transmissible between humans until the virus has mutated. An extended SIR model is derived in which both the susceptibles and the infectives are divided into two classes. The analysis points out a time delay before the disease taking off. Epidemic size and the maximum level of the infectives are also estimated. The model is further extended to investigate the efficiency of quarantine and vaccination schemes for controlling the effect of the disease.
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