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《Journal of Anshan Normal University》 2009-06
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The Pole Placement of a Singular SIRS System

ZHU Liu-xia1,ZHAO Li-chun2,LI Hai-long2 (1.Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China;2.Department of Mathematics,Anshan Normal University,Anshan Liaoning 114007,China)  
In this paper,the control of a singular SIRS system is investigated by linearization and pole placement.The control law which makes the disease disappear is achieved and numerical simulation is given to illustrate that the controller is effective.The study of this paper offers a basis for controlling disease.
【CateGory Index】: TP13
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 SUN De-xian CHEN Feng-de CHEN Xiao-xing (Department of Mathematics, Fuzhou University, Fuzhou Fujian 350002 China);Perodicity of the Delay Logistic Model with Feedback Control[J];Journal of Biomathematics;2005-04
2 YANG Guang ZHANG Qing-ling (Northeastern University, Shenyang Liaoning 110004 China) (Shenyang Normal University, Shenyang Liaoning 110034 China);Singular PDEs and Single-Step Formulation of Feedback Linearization with Pole Placement for Logistic Increased SIS Epidemic Model[J];Journal of Biomathematics;2006-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 SHI Rui-feng,LIU Ying-dong(School of Science,Beijing Jiaotong University,Beijing 100044,China);Global Stability on Constant Equilibria of A SIRS Model with Diffusion Terms[J];Journal of Beijing Jiaotong University;2006-06
2 YIN Rong-rong,HU Zhi-xing(School of Applied Science,University of Science and Technology Beijing,Beijing 10083,China);STABILITY OF AN EPIDEMIC MODEL FOR NONLINEAR INFECTIOUS RATE WITH VACCINATION AND QUARANTINE[J];Journal of Beijing Technology and Business University(Natural Science Edition);2009-03
3 XUE Ying1,2,XIONG Zuo-liang1(1.Department of Mathematics,Nanchang University,Nanchang Jiangxi 330047,China;2.Department of Basic Science,Logistical Engineering University of PLA,Chongqing 400016,China);A Kind of SEIR Epidemic Model with Impulsive Vaccinationand Class Age-Structure[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-01
4 GUO Jin-sheng1,2,LI Xiao-yan3(1.College of Mathematics,Physics & Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;2.Department of Mathematics,Hexi University,Zhangye 734000,China;3.Department of Mathematics,Lanzhou City University,Lanzhou 730070,China);A Qualitative Analysis of an Epidemic Model with Bilinear Incidence Rat[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2008-02
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6 HUA Lai-qing 1 , XIONG Lin-ping 1* ,SHEN Guang-rong 2 ,MENG Hong 1 ,HU Ya-ping 3 ,ZHAO Sheng-rong 4 (1. Department of Health Statistics, Facuty of Health Service,Second Military Medical University, Shanghai 200433, China; 2. School of Agriculture and Biology, Shanghai Jiaotong University,Shanghai 201101; 3. Agro-technical Extension of Pudong New District of Shanghai,Shanghai 201201; 4. Agro-technical Extension of Songjiang District of Shanghai, Shanghai 201613);Application of an autoregressive model in cucumber downy mildew disease forecasting[J];Academic Journal of Second Military Medical University;2005-06
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10 WEI Wei1,LIU Shao-ping2,SHU Yun-xing1(1.Dept.of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471003,China;2.Dept.of Mathematics,Huazhong University of Science and Technology,Hubei Wuhan 430074,China);Qualitative Analyses of Pulse Vaccination in the SIR Epidemic Model with Vertical Transmission[J];College Mathematics;2008-03
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