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

Chun Hsien Li, Chiung Chiou Tsai, Suh Yuh Yang

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

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.

原文???core.languages.en_GB???
頁(從 - 到)1682-1693
頁數12
期刊Applied Mathematics and Computation
218
發行號5
DOIs
出版狀態已出版 - 1 11月 2011

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