Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Harbin University of Science and Technology》 2012-02
Add to Favorite Get Latest Update

Qualitative Analysis of Epidemic Models with Vaccination and Isolation

LI Dong-mei,LIU Wei-hua,ZHENG Zhong-tao(School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)  
This paper studies infectious disease model with Vaccination and isolation.The threshold which determines the spread of the disease is found.The judgement conditions of the disease-free equilibrium point and the endemic equilibrium point is given.Using LaSalle Invariant theory,the global asymptotical stability of the disease-free point is proved.Using Hurwitz criterion,the sufficient condition for the local stability of the endemic equilibrium point is obtained.The application of the method of flow uniform persistence P0k k+d,discusses the uniform persistence of solutions.Using compound matrix,the sufficient conditions for the global asymptotic stability of the endemic equilibrium is obtained.
【Fund】: 黑龙江省自然基金(A200502);; 黑龙江省教育厅科学技术研究项目(12521099)
【CateGory Index】: O175.1
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 6 Hits
1 GUO Xiao-jun LI Da-zhi (School of Sciences,Nantong University,Nantong 226007,China);Stability Analysis on a Class of SIQR Epidemic Dynamical Model with Vaccination and Isolated Items[J];Journal of Nantong University(Natural Science Edition);2008-04
2 DONG Shu-zhuan(Dept of Math.Yuncheng University,Yuncheng Shanxi 044000,China);Global Stability of an Epidemic Model with Vacccination and Quarantine[J];Mathematics in Practice and Theory;2007-20
3 YANG Jian-ya ZHANG Feng-qin (Department of Applied Mathematics,Yuncheng University,Yuncheng Shanxi 044000 China);A SIR Epidemic Model with Vertical Transmission[J];Journal of Biomathematics;2006-03
4 FU Jing-chao JING Yuan-wei ZHANG Zhong-hua ZHANG Si-ying (College of ln formatian Science and Engineering Northeastern University,Shenyang Liaoning 110004 China);The Study on the SIRS Epidemic Models with Vertical Infection and Continuous Vaccination[J];Journal of Biomathematics;2008-02
5 Li Jianquan Ma Zhien Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049 Department of Mathematics and Physics, Air Force Engineering University, Xi'an 710051;Global Stability of an Epidemic Model with Vaccination[J];Acta Mathematica Scientia;2006-01
6 JIAO JIANJUN CAI SHAOHONG(School of Mathematics and Statistics,Guizhou Key Laboratory of Economic System Simulation,Guizhou College of Finance and Economics,Guiyang 550004) CHEN LANSUN(Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100190);A Vertical Transmission DS-I-R Model with Vaccination for Recurrent Event Data[J];Acta Mathematicae Applicatae Sinica;2008-06
Chinese Journal Full-text Database 10 Hits
1 LV Xiao-guo et al(College of Science,Nantong University,Nantong,Jiangsu 226007);Prediction Analysis on Vegetable Production Value of Farm[J];Journal of Anhui Agricultural Sciences;2009-16
2 LV Xiao-guo et al (College of Science,Nantong University,Nantong,Jiangsu 226007);Statistical Analysis on Influencing Factors of Agriculture Production Value[J];Journal of Anhui Agricultural Sciences;2009-17
3 LV Xiao-guo et al(Science school of Nantong University,Nantong,Jiangsu 226007);Predicting Agricultural Output Value with a "Discount" Seasonal Index Method[J];Journal of Anhui Agricultural Sciences;2009-26
4 SUN Chun-li1,ZHAO Li-chun2(1.School of Science,University of Science and Technology Liaoning,Anshan 114051,China;2.Dept.of Mathematics,Anshan Normal University,Anshan 114005,China);T-S fuzzy control with hepatitis B model[J];Journal of University of Science and Technology Liaoning;2010-04
5 YU Miao~1,ZHAO Li-chun~2,SUN Chun-li~1 (1.School of Science,University of Science and Technology Liaoning,Anshan 114051,China; 2.Dept.of Mathematics,Anshan Normal University,Anshan 114005,China);T-S fussy control for a class of HIV/AIDS model[J];Journal of University of Science and Technology Liaoning;2011-05
6 Zhang Yujuan Zhao Lichun Liu Huimin (Institute of Biomathematics,Anshan Teachers College,Anshan,114005)\;;Single Species Diffusion System with the Rate of Stocking[J];JOURNAL OF ANSHAN TEACHERS COLLEGE;1999-01
7 LIU Hui min (Institute of Biomathematics,Anshan Teachers College,Liaoning Anshan 114005);Economic Harvesting Model with Variable Price and Cost for a Single Population[J];JOURNAL OF ANSHAN TEACHERS COLLEGE;2000-01
8 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);The Pole Placement of a Singular SIRS System[J];Journal of Anshan Normal University;2009-06
9 YU Miao1,2,ZHAO Li-chun2,SUN Chun-li1,WANG Yong-li1(1.School of Science,University of Science and Technology Liaoning,Anshan Liaoning 114051,China; 2.School of Mathematics and Information Science,Anshan Normal University,Anshan Liaoning 114007,China);T-S Fussy Control for the First-Type HIV Models[J];Journal of Anshan Normal University;2012-02
10 YU Wei-wei,GUAN Ke-ying(School of Science,Beijing Jiaotong University,Beijing 100044,China);Study of Describing Function Approach on Determining Limit Cycle Number[J];Journal of Beijing Jiaotong University;2006-03
China Proceedings of conference Full-text Database 5 Hits
1 CHEN Ying1,LI Jing2(1.The Department of Mathematics,Huanghuai College,Zhumadian 463000,China;2.The College of Applied Sciences,Beijing University of Technology,Beijing 100124,China);DETERMINATION OF CENTER FOR DYNAMIC EQUATION OF SHAPE MEMORY ALLOY PLATE[A];[C];2011
2 YANG Shi-jie,WU Wei-ping (Institute of Parasitic Disease,Chinese Centre for Disease Control and Prevention, Shanghai,200025,China);Transmission Dynamics Model of Echinococcosis Granulosa and Its Application[A];[C];2008
4 Wang Xinzhi Rong Haimin Song Xi (Can su University of Technology);Stability Analysis of Nonlinear Vibration for Pliable and Tough Shallow Conical Shells[A];[C];2002
5 MI Chuan-min~1 LIU Si-feng~1 MI Chuan-jun~2 (1.Nanjing University of Aeronautics and Astronautics,School of Economics and Management,Nanjing 210016,China;2.Beijing Institute of Technology,College of Management and Economics,Beijing 100011,China);Study on the Diffusion of Enterprise Group Internal Distress based on SEIRS Model[A];[C];2007
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 ZHAO Wei, ZHAO Jia-kun(Science College, Xi'an Jiaotong University, Xi'an71--49,China);Epidemic model of the proportional vaccination about Hepatitis B[J];Pure and Applied Mathematics;2003-04
2 LIU Hanwu,XU Jie,LIU Qiming(1Science College, Hebei University of Science & Technology, Shijiazhuang 050018;2Faculty of Science, Xi'an Jiaotong University, Xi'an 710049;3Ordnance Engineering College, Shijiazhuang 050003);Age-structured SIS Communicable Disease Model with Continuous Vaccination[J];Chinese Journal of Engineering Mathematics;2002-04
3 LI Jian-quan1 , WANG Feng1, MA Zhi-en1 ,2 (1- Xi’an Jiaotong University, Xi’an 710049; 2- Air Force Engineering University, Xi’an 710077 );Analysis of Global Stability for an Epidemic Model with Quarantine[J];Chinese Journal of Engineering Mathematics;2005-01
4 XU Wen-xiong, ZHANG Zhong-hua (School of Sciences, Xi'an Jiaotong University, Xi'an710049);Global Stability of SIR Epidemiological Model with Vaccinal Immunity and Bilinear Incidence Rates[J];College Mathematies;2003-06
5 (This paper is consecrated to the medical workers who devoted their lives to the cause of flighting against SARS) JIN Zhen\+1, MA Zhien\+2 (1. Dept. of Applied Mathematics, North China Institute of Technology, Taiyuan 030051, China; 2. Dept. of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049, China);The SIR Epidemical Models with Continuousand Impulsive Vaccinations[J];Journal of North China Institute of Technology;2003-04
6 CHEN Jun-jie PAN Guo-wei ( Department of Mathematics, Zhejiang University, Hangzhou Zhejiang 310029 China) ( Department of Physics, Zhejiang University, Hangzhou Zhejiang 310029 China);A Dynamic Model for Diseases with Nonpermanent Immunity in a Variable Size Population[J];Journal of Biomathematics;2003-04
7 CHEN Jun-jie (Department of Mathematics, Zhejiang University, Hangzhou Zhejiang 310029 China);Local Stability and Global Stability of SIQS Models for Disease[J];Journal of Biomathematics;2004-01
8 XU Jie ZHOU Yi-cang (Department of Mathematics, Shanghai Maritime University, Shanghai 200135 China) ( Science College, Xi'an Jiaotong University, Xi'an Shanxi 710049 China);Hepatitis Epidemic Models with Proportional and Pulse Vaccination[J];Journal of Biomathematics;2004-02
9 CHEN Jun-jie (Department of Mathematics,Zhejiang University,Hangzhou Zhejiang 310029 China);Stability Analysis for some Epidemic Models with Nonlinear Infectious Force[J];Journal of Biomathematics;2005-03
10 YANG Jian-ya ZHANG Feng-qin (Department of Applied Mathematics,Yuncheng University,Yuncheng Shanxi 044000 China);A SIR Epidemic Model with Vertical Transmission[J];Journal of Biomathematics;2006-03
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved