ANALYSIS OF AN SEIRS EPIDEMIC MODEL WITH TIME DELAYS AND PULSE VACCINATION

被引：5

作者：

Gao, Shujing ^{[1
]}

Chen, Lansun ^{[1
]}

Teng, Zhidong ^{[2
]}

机构：

[1] Gannan Normal Univ, Key Lab Jiangxi Prov Numer Simulat & Emulat Tech, Ganzhou 341000, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2008年 / 38卷 / 05期

关键词：

Time delay; pulse vaccination; SEIRS epidemic model; global attractivity; permanence;

D O I：

10.1216/RMJ-2008-38-5-1385

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Pulse vaccination is an important strategy for the elimination of infectious diseases. An SEIRS epidemic model with time delays and pulse vaccination is formulated in this paper. By the comparison theorem in impulsive differential equations, we obtain that the infection-free periodic solution is globally attractive if the pulse vaccination rate is larger than theta*. Moreover, we show that the disease is uniformly persistent if the pulse vaccination rate is less than theta* under appropriate conditions. The permanence of the model is investigated analytically.

引用

页码：1385 / 1402

页数：18

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