Complexity and asymptotical behavior of a SIRS epidemic model with proportional impulsive vaccination

被引：9

作者：

Zeng, GZ ^{[1
]}

Chen, LS

机构：

[1] Shaoguan Univ, Dept Math, ShaoGuan 512005, GuangDong, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

ADVANCES IN COMPLEX SYSTEMS | 2005年 / 8卷 / 04期

关键词：

SIRS epidemic model; proportional impulsive vaccination; globally asymptotic; chaos; quasi-periodic solution;

D O I：

10.1142/S0219525905000580

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers an SIRS epidemic model with proportional impulsive vaccination, which may inherently oscillate. We study the ratio-dependent impulsive control and obtain the conditions about the basic reproductive number for which the epidemic-elimination solution is globally asymptotic. On the other hand, if the epidemic turns out to be endemic, we study numerically the influences of impulsive vaccination on the periodic oscillation of a system without impulsion and find sophisticated phenomena such as chaos in this case.

引用

页码：419 / 431

页数：13

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