CHAOS ANALYSIS AND CONTROL FOR A CLASS OF SIR EPIDEMIC MODEL WITH SEASONAL FLUCTUATION

被引：10
作者：
Zhang, Yi [1 ,2 ]
Zhang, Qingling [1 ]
Zhang, Fuzhen [3 ]
Bai, Fenglan [4 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning, Peoples R China
[2] Shenyang Univ Technol, Sch Sci, Shenyang 110870, Peoples R China
[3] Nova SE Univ, Div Math Sci & Technol, Ft Lauderdale, FL 33314 USA
[4] Dalian Jiaotong Univ, Sch Sci, Dalian 116028, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2013年 / 6卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Epidemic model; differential-algebraic system; seasonal fluctuation; chaos; tracking control; NONLINEAR INCIDENCE; GLOBAL STABILITY; PULSE;
D O I：
10.1142/S1793524512500635
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, the problems of chaos and chaos control for a class of susceptible-infected-removed (SIR) epidemic model with seasonal fluctuation are investigated. The seasonality in outbreak is natural among infectious diseases, as the common influenza, A type H1N1 influenza and so on. It is shown that there exist chaotic phenomena in the epidemic model. Furthermore, the tracking control method is used to control chaotic motions in the epidemic model. A feedback controller is designed to achieve tracking of an ideal output. Thus, the density of infected individuals can converge to zero, in other words, the disease can be disappeared. Finally, numerical simulations illustrate that the controller is effective.
引用
收藏
页数：11
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