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

作     者：YI ZHANG QINGLING ZHANG FUZHEN ZHANG FENGLAN BAI 

作者机构：Institute of Systems Science Northeastern University Shenyang Liaoning 110819 P. R. China School of Science Shenyang University of Technology Shenyang 110870 P. R. China Division of Math Science and Technology Nova Southeastern University Fort Lauderdale Florida 33313 USA School of Science Dalian Jiaotong University Dalian 116028 P. R. China 

基　　金：National Natural Science Foundation of China  NSFC  (60974004  61104003  61273008) 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2013年第6卷第1期

页      码：41-51页

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 season- ality 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 out- put. Thus, the density of infected individuals can converge to zero, in other words, thedisease can be disappeared. Finally, numerical simulations illustrate that the controller is effective.

主 题 词：Epidemic model differential-algebraic system seasonal fluctuation chaos tracking control. 

学科分类：07[理学] 070104[070104] 070201[070201] 0701[理学-数学类] 0702[理学-物理学类] 

核心收录：

D　O　I：10.1142/S1793524512500635

馆 藏 号：203165575...