Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Mathematics in Practice and Theory》 2007-17
Add to Favorite Get Latest Update

Qualitative Analysis of an Epidemic Model with Stage Structure

YANG Jian-ya1,ZHANG Feng-qin1, YANG You-she2(1.Department of Applied Mathematics Yuncheng University,Yuncheng 044000,China)(2.Deartment of Applied Mathematis and Physics,Air Force Engineering University,Xi′an 710051,China)  
By assuming that the infectives have no immunity after recovery from the disease and that their susceptibility is different from other susceptible individuals,an epidemic model with bilinear incidence rate was established.It was found that backward bifurcation occurs for some parameters.The associated thresholds were determined,and the dynamical behivor was investigated completely.
【Fund】: 山西省自然科学基金项目(2005Z010);; 山西省重点扶持学科项目;; 运城学院项目(2005207);; 空军工程大学理学院科研基金项目
【CateGory Index】: O193
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 3 Hits
1 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
2 LI Jian-quan~1, WANG La-di~(2,3), YANG You-she~1 ( 1. The Telecommunication Engineering Institute, Air Force Engineering University, Xi′an, Shaanxi 710077, China; 2. Department of Mathematics, Shanghai University, Shanghai 200436, China; 3. Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, Shanxi 030006, China );Qualitative Analysis of Nonlinear Incidence Rate for Two Epidemic Models[J];Journal of Air Force Engineering University(Natural Science Edition);2004-01
3 Li Jianquan Ma Zhien Zhou Yicang Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China Telecommunication Engineering Institute, Air Force Engineering University, Xi'an 710077, China;GLOBAL ANALYSIS OF SIS EPIDEMIC MODEL WITH A SIMPLE VACCINATION AND MULTIPLE ENDEMIC EQUILIBRIA[J];数学物理学报(英文版);2006-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 SONG Qiang1,WANG Xia2,WU Yi-jing2 (1.Department of Mathematics and Computer Science,Xinyang Vocational and Technical College,Xinyang Henan 464000,China;2.College of Mathematics and Information Science,Xinyang Normal University,Xinyang Henan 464000,China);Analysis for a Model of Global Properties of Virus Dynamics with Nonlinear Incidence[J];Journal of Anshan Normal University;2008-02
2 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
3 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
4 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
5 XU Wen-xiong~1 ZHANG Tai-lei~2 XU Zong-ben~1 1.School of Science,Xi'an Jiaotong University,Xi'an 710049,China; 2.College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China;The global stability of a nonlinear high dimensional SEIR epidemic model of two competitive species[J];Pure and Applied Mathematics;2008-02
6 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
7 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
8 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
9 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
10 Wang Han Han Ruizhu (School of Economics and Management,Southeast University,Nanjing 210096,China);Analysis of intercity emergency logistics network dynamics model based on multi-hub[J];Journal of Southeast University(Natural Science Edition);2007-S2
China Proceedings of conference Full-text Database 1 Hits
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
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 LI Jian-quan, YANG You-she (The Telecommunication Engineering Institute, Air Force Engineering University, Xi'an 710077, China);Qualitative Analysis of a Type of Competitive Model of Adult Population[J];Journal of Air Force Engineering University(Natural Science Edition);2002-02
2 LI Jian-quan, YANG You-she, YANG Guo-ping ( The Telecommunication Engineering Institute, Air Force Engineering University, Xi′an 710077, China);Global Analysis of a Type of SIS Epidemic Model[J];Journal of Air Force Engineering University(Natural Science Edition);2002-05
3 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
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved