Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay

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題名:	Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay
作者:	Li,CH;Tsai,CC;Yang,SY
貢獻者:	數學系
關鍵詞:	GLOBAL STABILITY;ASYMPTOTIC PROPERTIES
日期:	2011
上傳時間:	2012-03-27 18:25:01 (UTC+8)
出版者:	國立中央大學
摘要:	In this paper, we investigate the permanence of an SIR epidemic model with a density-dependent birth rate and a distributed time delay. We first consider the attractivity of the disease-free equilibrium and then show that for any time delay, the delayed SIR epidemic model is permanent if and only if an endemic equilibrium exists. Numerical examples are given to illustrate the theoretical analysis. The results obtained are also compared with those from the analog system with a discrete time delay. (C) 2011 Elsevier Inc. All rights reserved.
關聯:	APPLIED MATHEMATICS AND COMPUTATION
顯示於類別:	[數學系] 期刊論文

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