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《Journal of University of Shanghai for Science and Technology》 2007-01
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SIQR epidemical model with impulsive vaccination

ZHOU Yan-li1,WANG He-qiao2,WANG Mei-juan2,XU Chang-yong2 (1.College of Medical Instrumentation,University of Shanghai for Science and Technology,Shanghai 200093,China;2.Colloge of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)  
A SIQR model for spread of infectious disease in a population with impulsive vaccination is discussed.The reproduction number for the model is obtained,and the existence and global stability of the disease-free periodic solution are analysed.
【CateGory Index】: O175.1
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【References】
Chinese Journal Full-text Database 2 Hits
1 ZHOU Yan-li1,WANG Mei-juan2(1.Shanghai Medical Instrumentation College,Shanghai 200093,China;2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIQRS epidemic model with delay corresponding to immune period and saturated incidence rate[J];Journal of University of Shanghai for Science and Technology;2009-05
2 XU Weijian [Department of Mathematics and Computer Science,Yulin Normal University,Guangxi 537000);THE SIQRS EPIDEMIC MODEL OF IMPULSIVE VACCINATION WITH CONSTANT INPUT AND SATURATION INCIDENCE RATE[J];Journal of Systems Science and Mathematical Sciences;2010-01
【Citations】
Chinese Journal Full-text Database 1 Hits
1 (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
【Co-citations】
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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
5 XU Yan-li 1,2(1.Department of Mathematics and Computer Science,Hunan normal University,Changsha 410081,China;2.Department of Mathematics,Xiangnan University,Chenzhou 423000,China);Global Stability of SIQR Model with Vaccination,Quarantine and Non-linear Incidence Rate βSI/H+I[J];Journal of Xiangnan University;2009-02
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
7 PANG Guo-ping1,2,TAO Feng-mei1,3,CHEN Lan-sun1(1.Dept.of Appl.Math.,Dalian Univ.of Technol.,Dalian 116024,China; 2.Dept.of Math.& Comput.Sci.,Yulin Norm.Univ.,Yulin 537000,China;3.Dept.of Math.,Anshan Norm.Univ.,Anshan 114005,China);Analysis of SIRS model with saturated contact rate and pulse vaccination[J];Journal of Dalian University of Technology;2007-03
8 Liu Ming Zhao Lindu Cheng Ting (School of Economics and Management,Southeast University,Nanjing 210096,China);Integrated and dynamic optimization control of multi-level anti-bioterrorism emergency logistics network[J];Journal of Southeast University(Natural Science Edition);2007-S2
9 Li Zhi Han Ruizhu Liu Ming (School of Economics and Management,Southeast University,Nanjing 210096,China);Analysis of synergetic dynamics model of emergency rescue network in anti-bioterrorism system[J];Journal of Southeast University(Natural Science Edition);2007-S2
10 Qu Linbo Han Ruizhu (School of Economics and Management,Southeast University,Nanjing 210096);Analysis of biology dangerous source diffusing dynamics model in population migration[J];Journal of Southeast University(Natural Science Edition);2007-S2
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1 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
【Co-references】
Chinese Journal Full-text Database 4 Hits
1 WANG He-qiao,ZHOU Yan-li,WANG Mei-juan,XU Chang-yong (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIQR epidemical model with continuous vaccinal immunity and bilinear incidence rates[J];Journal of University of Shanghai for Science and Technology;2007-02
2 Pang Guoping (Department of Applied Mathematics Dalian University of Technology Dalian 116024 Department of Methematics and Computer Science Yulin Teachers' College Yulin 537000) Chen Lansun (Department of Applied Mathematics Dalian University of Technology Dalian 116024);THE SIRS EPIDEMIC MODEL WITH SATURATED CONTACT RATE AND PULSE VACCINATION[J];Journal of Systems Science and Mathematical Sciences;2007-04
3 Yuan Sanling~1 Ma Zhien~2 Han Maoan~3(~1College of Science, University of Shanghai for Science and Technology, Shanghai 200093)(~2Department of Applied Mathematics, Xi′an Jiaotong University, Xi′an 710049)(~3Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030);Global Stability on an SIS Epidemic Model with Time Delays[J];Acta Mathematiea Scientia;2005-03
4 LI Jian-quan ~(1,2), ZHANG Juan ~1, MA Zhi-en ~1 (1.Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, P.R.China; 2.Telecommunication Engineering Institute, Air Force Engineering University, Xi'an 710077, P.R.China);GLOBAL ANALYSIS OF SOME EPIDEMIC MODELS WITH GENERAL CONTACT RATE AND CONSTANT IMMIGRATION[J];应用数学和力学(英文版);2004-04
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