Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of University of Shanghai for Science and Technology》 2010-04
Add to Favorite Get Latest Update

SIRS epidemical model of continuous vaccination with saturating infect rate and vertical infection

XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)  
An SIRS(susceptible infectives removed susceptible) epidemic model with saturating infect rate and vertical infection was studied.In the model it is assumed that the susceptibles,the recovered and the non-infected newborn,whose mother has been infected,are vaccinated.The sufficient conditions of local and global asymptotic stabilities of the equilibrium were obtained.The conclusion was verified by numerical imitation.
【CateGory Index】: O175
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 6 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 LIU Yan,WANG Mei-juan,LU Tie-jun(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);Ecology-epidemic model considering effective contact rate dependent on total number of persons[J];Journal of University of Shanghai for Science and Technology;2007-05
3 SHEN Su-hui,YUAN San-ling(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);A kind of combined epidemic models of SEIR and SEIS with varying total population size[J];Journal of University of Shanghai for Science and Technology;2009-03
4 DU Yan-ke,XU Rui(Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China);Global Stability of an SI Epidemic Model with Standard Incidence Rate[J];Journal of Ordnance Engineering College;2008-02
5 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
6 Xu Weijian (Department of Mathematics and Computer Science,Yulin Normal University,Yulin 537000);Stability and Hopf Bifurcation of an SIS Model with Species Logistic Growth and Saturating Infect Rate[J];Acta Mathematica Scientia;2008-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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
2 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
3 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
4 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
5 YANG-Xia,ZHAO-Ke (Normal College of Shihezi University/Bingtuan Education Institute,Shihezi,Xinjiang 832003,China);Stability of Dynamic Models of Infection Diseases[J];Journal of Bingtuan Education Institute;2010-01
6 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
7 ZHAO Ya-nan(College of Science,Changchun University,Changchun 130022,China);The asymptotic behavior of stochastic SIRS model's positive solution[J];Journal of Changchun University;2011-02
8 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
9 YE Zhi-yong,JIANG Hua-nan,DENG Cun-bing(School of Mathematics and Physics,Chongqing University of Technology,Chongqing 400054,China);Stability and Hopf Bifurcation of an Predator-prey Systems with a Nonlidence Rate[J];Journal of Chongqing University of Technology(Natural Science);2011-02
10 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
China Proceedings of conference Full-text Database 2 Hits
1 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
2 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 LAN Xiao-jing,YANG Hai-xia,SUN Zhi-qiang(School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China);Class of the Combined SIR and SIS Contagion Model for Population with Varying Size[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2007-06
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 JIN Zhen1,MA Zhien2,YUAN Sanling2(1Department of Mathematics, North china Institute of Technology, Taiyuan, 030051;2Department of Mathematics, Xi'an Jiaotong University, Xi'an710049);A SIR Epidemic Model with Varying Population Size[J];Chinese Journal of Engineering Mathematics;2003-03
4 (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
5 FAN Zhi-liang, ZHANG Ju-ping(Dept. of Applied Mathematics, North China Institute of Technology, Taiyuan 030051, China);A Class of The Combination of SIR and SIS Epidemic Modelwith Immigrants of Constant[J];Journal of North China Institute of Technology;2004-02
6 LI Jian-quan1,2, YANG You-she2 (1.Xi'an Jiaotong University, Xi′an,Shaanxi 710049,China; 2.The Telecommunication Engineering Institute, Air Force Engineering University, Xi′an,Shaanxi 710077, China);An Epidemic Model with Certain Period of Quarantine[J];Journal of Air Force Engineering University(Natural Science Edition);2003-03
7 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
8 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
9 SUN Shu-lin YUAN Cun-de (School of Mathematical and Computer Science Shanxi Normal University, Linfen Shanxi 041004 China);On the Analysis of Predator-Prey Model with Epidemic in the Predator[J];Journal of Biomathematics;2006-01
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