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

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51207

Title:	Permanence of an SIR epidemic model with density dependent birth rate and distributed time delay
Authors:	Li,CH;Tsai,CC;Yang,SY
Contributors:	數學系
Keywords:	GLOBAL STABILITY;ASYMPTOTIC PROPERTIES
Date:	2011
Issue Date:	2012-03-27 18:25:01 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	APPLIED MATHEMATICS AND COMPUTATION
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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