Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Acta Mathematiea Scientia》 2003-03
Add to Favorite Get Latest Update

Stability of Some Epidemic Models with Passive Immunity

Lou Jie Ma Zhien (Department of Mathematics, Xi'an Jiaotong University, Xi'an China, 710049)  
Some epidemic models with passive immunity for the spread of infection diseases in populations have been analyzed mathematically and discussed. The basic repouduction number R\-0 is obtained for these models, global asymptotical stability have been got for some models. Vaccinations are considered on the MSIR model.
【Fund】: 国家自然科学基金资助项目 (1 9971 0 66)
【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 7 Hits
1 Cui Ning Li Junhong Hebei Institute of Architecture and Civil Engineering;Qualitative Analysis of a Dynamic SEIS Epidemic Model with Quarantine Items[J];Journal of Hebei Institute of Architecture and Civil Engineering;2007-01
2 LI Jun-hong1,CUI Liang2,YU Yuan-hong3,ZHANG Li-gang1(1.Department of Mathematics and Sciences,Hebei Institute of Architecture and Civil Engineering,Zhangjiakou Hebei 075024,China)(2.Office of Student,Shijiazhuang Railway Institute,Shijiazhuang Hebei 051000,China)(3.Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China);Limit Cycle and Chaos of an Epidemic Model with Varying Total Population Size[J];Mathematics in Practice and Theory;2008-10
3 Gou Qingming (Department of Mathematics,Yangtze Normal University,Chongqing 408003) Wang Wendi (School of Mathematics and Statistics,Southwest Normal University,Chongqing 400715);AN SIS EPIDEMIC MODEL WITH POPULATION DISPERSAL[J];Journal of Systems Science and Mathematical Sciences;2007-04
4 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
5 GOU Qing-mingDepartment of Mathematics,Yangtze Normal University,Chongqing 408003,China;An SIS Epidemic Model with Stage Structure and Sandard Incidence[J];Journal of Southwest University(Natural Science Edition);2007-09
6 GUO Shu-Li~1,YAO Feng~2(1.Department of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000,China;2.Nanyang Hygienecs School,Nanyang 473058,China);Analysis of a homogeneous SIR epidemic model with vaccination[J];Journal of Xinyang Teachers College(Natural Science Edition);2005-04
7 ;考虑出生和死亡因素的SIR模型研究[J];Science and Technology Innovation Herald;2009-31
Chinese Journal Full-text Database 10 Hits
1 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
2 HUA Lai-qing~(1),SHEN Guang-rong~(2),XIONG Lin-ping~(1*),MENG Hong~(1),ZHAO Sheng-rong~(3),HU Ya-ping~(4)(1.Department of Health Statistics,Faculty of Health Services,Second Military Medical University,Shanghai 200433,China;2.School of Agriculture and Biology,Shanghai Jiaotong University,Shanghai 201101;3.Agro-technical Promotion Station,Songjiang District of Shanghai,Shanghai 201613;4.Agro-technical Promotion Station,Pudong New District of Shanghai,Shanghai 201201);Application of autoregressive integrated moving average model in establishing disease index time series model of cucumber downy mildew disease[J];Academic Journal of Second Military Medical University;2006-07
3 Xiong Xuemei Ji Changying (Nanjing Agricultural University);Application of the Combination of Genetic Algorithm and Artificial Neural Network to Prediction of Cucumber Downy Mildew[J];Transactions of The Chinese Society of Agricultural Machinery;2002-04
4 FAN Ai-jun, WANG Kai-fa (College of Medicine, Third Military Medical University, Chongqing 400038);Analysis on a Species Mechanics Epidemical Model with Nonlinear Incidence Rate[J];Journal of Sichuan Normal University(Natural Science);2002-03
5 HUANG Yu-mei~(1,2), LI Shu-yong~1, PAN Jie~1(1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan;2. School of Computer and Mathematical Physical Science, Xihua University, Chengdu 610039, Sichuan);A SIRS Infectious Disease Model with Stage-Structure[J];Journal of Sichuan Normal University(Natural Science);2005-01
6 Wang Hui;Hu Zhuxing;Ma Zhien(Department of Mathematics,Yan'an University,Yanan,Shanxi 716000)(Beijing University of Aerunautice and Astronautics,Beijing 100083)(Department of Mathematics,Xi'an Jiaotong University,Xi'an 710049);Influence of Nonlinear Incidence Rate and Population Dynamics upon the Behavior of SI Epidemiological Model[J];Journal of Biomathematics;1997-S1
7 QIU Zhi-peng WANG Kai-fa YUAN Zhong-jun (Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing Jiangsu, 210094 China) ( Department of Mathematics, College of Medicine, Third Military Medical University, Chongqing 400038 China) ( Department of Mathematics, Chongqing Communication University, Chongqing 400035 China);The Asymptotic Behavior of a SI Epidemic Model with Stage-Structure and Nonlinear Contact Number[J];Journal of Biomathematics;2004-02
8 CHEN Jun-jie Department of Mathematics, Zhejiang University, Hangzhou Zhejiang 310029 China;Stability of an SIRI Epidemic Model with Immigration and a Varying Total Population Size[J];Journal of Biomathematics;2004-03
9 HU Bao-an CHEN Bo-wen YUAN Cun-de (Institute of Military Traffic of PLA, Tianjin 300161 China) (Shanxi Teacher's University, Linjen Shanxi 041004 China);The Epidemic Model with Two-Stage Strunture[J];Journal of Biomathematics;2005-01
10 ZHANG Shao-lin (College of Sciences, Zhcjiang University of Science and Technology, Hangzhou Zhejiang 310023 China);The Influence of Population Movement on the Transmission Effect of Infectious Disease[J];Journal of Biomathematics;2006-02
【Secondary References】
Chinese Journal Full-text Database 7 Hits
1 LI Da-zhi,GUO Xiao-jun,ZHANG Hui(School of Science,Nantong University,Nantong 226007);The Stability for an Epidemic Model with Vaccinal Immunity and Nonlinear Infectious Rate[J];Chinese Journal of Engineering Mathematics;2007-06
2 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
3 ZHANG Hui(School of Sciences,Nantong University,Nantong 226007,China);The Stability for a Class of Epidemic Model with Population Change[J];Journal of Nantong University(Natural Science Edition);2009-02
4 GUO Shu-li,GUO Hong-jian(College of Mathematics and Informations Science Teachers College,Xinyang 464000,China);An age-structured SIR epidemic model with leaky vaccination[J];Journal of Shangqiu Teachers College;2007-03
5 YANG Jian-ya,ZHANG Feng-qin(Department of Applied Mathematics Yuncheng Universety,Yuncheng 044000,China);Qualitative Analysis of an SEIR Epidemic Model with Vertical Transmission and Vaccination[J];Mathematics in Practice and Theory;2009-17
6 DU Yan-ke,XU Rui,DUAN Li-jiangDepartment of Basic Courses,Ordnance Engineering College,Shijiazhuang Hebei 050003,China;Qualitative Analysis of an Epidemiological Model of SIS Type with Nonlinear Incidence[J];Journal of Southwest University(Natural Science Edition);2009-03
7 GUO Shu-li~a,FU Hua-bao~b(a.College of Mathematics and Informations Science;b.High School,Xinyang Normal University,Xinyang 464000,China);A Two-strain Epidemic Model with Total Cross Immunity[J];Journal of Xinyang Normal University(Natural Science Edition);2006-03
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved