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《Journal of Biomathematics》 2003-04
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A Dynamic Model for Diseases with Nonpermanent Immunity in a Variable Size Population

CHEN Jun-jie PAN Guo-wei ( Department of Mathematics, Zhejiang University, Hangzhou Zhejiang 310029 China) ( Department of Physics, Zhejiang University, Hangzhou Zhejiang 310029 China)  
This paper constructs a SIRS epidemic model that incorporates constant recruitment and a general population size dependent contact rate. The existence and stability of the equilibria for the model are discussed. For the case of mass action incidence, global stability results of endemic equilibrium are given. Some existed results are extended and improved.
【Fund】: 浙江大学科技发展基金(107000-544301)
【CateGory Index】: R311
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【References】
Chinese Journal Full-text Database 8 Hits
1 DU Jun-hua1,2,LIU Xiao-yu1(1.College of Applied Science,Harbin University of Science and Technology,Harbin 150080,China;2.Department of Mathematics,Qiqihar University,Heilongjiang Qiqihar 161006,China);Stability analysis of an epidemic model with a generate contact rate[J];Journal of Qiqihar University(Natural Science Edition);2008-03
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 YU Yang,HU Zhi-xing(School of Applied Science,Beijing University of Science & Technology,Beijing 100083,China);An Analysis of Epidemiological Model with Constant Immigration and Quarantine[J];Journal of Shijiazhuang University;2006-06
4 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
5 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
6 ZHANG Xian~(1,2) QI Yi-wen~1 (1 School of Mathematical Science,Heilongjiang University,Harbin Heilongjiang 150080 China) (2 Center for Control Theory and Guidance Technology,Harbin Institute of Technology, Harbin Heilongjiang 150001 China);Normalized Control for a Class of Discrete-Time Bilinear Ecological Systems[J];Journal of Biomathematics;2009-01
7 LI Qiu-ying ZHANG Feng-qin (Department of Mathematics Yuncheng University,Yuncheng Shanxi 044000 China);An Populaition-Epidemic Model with Quarantine and Stage Structure[J];Journal of Biomathematics;2009-04
8 YANG Xiu-xiang(Department of Mathematics,Weinan Teachers University,Weinan 714000,China);A Dynamic Model of Epidemic with Contact Rate in Variable Size Population[J];Journal of Weinan Teachers University;2007-02
【Citations】
Chinese Journal Full-text Database 1 Hits
1 CHEN JUNJIE ZHANG NANSONG(Research Center of Biometrics, Zhejiang University, HangZhou 310029);AN HIV/AIDS TRANSMISSION MODEL WITH INFECTIOUS STAGES AND CONSTANT RECRUITMENT[J];Acta Mathematicae Applicatae Sinica;2002-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 SUN Wei-Dong,GAO Cun-Chen,KAO Yong-Gui(Department of Mathematics,Ocean University of China,Qingdao 266071,China);Equivalent Condition and New Sufficient Conditions for Asymptotic Stability of Autonomous Systems[J];Periodical of Ocean University of China;2006-05
2 ZHANG Cai-Hong,GAO Cun-Chen(Department of Mathematics,Ocean University of China,Qingdao 266071,China);The Application of the Comparison Principle to Multiple Rational Time Delay Discrete Systems with Interval Coefficient[J];Periodical of Ocean University of China;2006-S1
3 Wang Bin~(1,2), Yang Zhi-lin~1, Li Zhi-min~1, Xu Yin-feng~2(1. Qingdao Technological University, Qingdao 266033;2. Management School of Xi'an Jiaotong University, Xi'an 710049);The Evolutionary Game Analysis on Cause of Unexpected Mass Incident in Countryside[J];Journal of Qingdao Institute of Architecture and Engineering;2004-04
4 DU Jun-hua1,2,LIU Xiao-yu1(1.College of Applied Science,Harbin University of Science and Technology,Harbin 150080,China;2.Department of Mathematics,Qiqihar University,Heilongjiang Qiqihar 161006,China);Stability analysis of an epidemic model with a generate contact rate[J];Journal of Qiqihar University(Natural Science Edition);2008-03
5 HOU Xue gang (Department of Mathematics, Leshan Teacher's College, Leshan 614000, Sichuan);Global Attractivity and Global Exponential Stability for Delayed Cellular Neural Network Models[J];Journal of Sichuan Normal University(Natural Science);2002-04
6 ZHOU Jian,ZHOU Zheng-xin(1.Department of Teachers Education,Suqian College,SuQian 223800,China;2.School of Mathematics,Yangzhou University,Yangzhou 225002,China);Reflection function and periodic solution of a prey-predator population model[J];Journal of Shandong University of Technology(Natural Science Edition);2009-02
7 DONG Huan he 1,FENG Zeng zhe 2 (1.Dept of Basic Courses, SUST,Taian 271019, China; 2.Taian School of Population, Taian 271000, China);Stability in Non-linear and Non-autonomous Systems of Separating Variables on Partial Variables[J];JOURNAL OF SHANDONG INST.OF MIN.& TECH;2000-03
8 TIAN Li,JU Pei-jun(Dept.of Mathematics and System Sciences,Taishan Institute,Tai'an,Shandong 271021,China);The Generalized Q-S Synchronization Theorem for Non-autonomous Chaotic Systems[J];Journal of Shandong University of Science and Technology(Natural Science);2009-03
9 Xing Dian-ly; Yang Xue-jun(Dalian University of Technology, Dalian 116023 );The Stability of a Ship with Linear Couple Motion[J];Journal of Hydrodynamics;1995-06
10 Liu Changdong (Department of Basic Sciences, Zhanjiang Ocean University, Zhanjiang 524025 China);The Stability of Multispecies Ecological Model[J];Journal of Zhanjiang Ocean University;2001-01
China Proceedings of conference Full-text Database 2 Hits
1 Zhu Xiping~1 Zhi Xizhe~1 Gu Zhiping~2 (Northwestern Polyteehnical University Xi'an 710072);Study of Hurwitz Stability Criterion for Linearity Variables System[A];[C];2002
2 Wei Zhang Institute of Applied Mechanics,School of Science and Technology,JiNan University;The Stability Relationship of System and Its Subsystems[A];[C];2007
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 LIU Shuo1,LI Jian-quan1,WANG La-di2,MA Run-nian3(1.Department of Applied Mathematics and Physics,Air Force Engineering University,Xi′an 710051,China)(2.Department of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,China)(3.School of Telecommunication Engineering,Air Force Engineering University,Xi′an 710077,China);Global Analysis of an SEIR Epidemic Model with Nonlinear Incidence Rate[J];Mathematics in Practice and Theory;2007-23
2 Ding Shanshi;Wang Fujun(Department of Mathematics,East China Normal Unversity,Shanghai 200062);SILI EPIDEMIOLOGICAL MODEL WITH NONLINEAR INCIDENCE RATES[J];Journal of Biomathematics;1994-02
3 YUANG San-ling, Han Li-tao, MA Zhi-en (Faculty of Science. Xi'an Jiaotong University, Shanxi Xi'an 710049 China);A Kind of Epidemic Model Having Infectious Force in both Latent Period and Infected Period[J];Journal of Biomathematics;2001-04
4 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
5 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
6 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
7 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
8 HUANG Yu-jie~(1,2) ZHANG Xiu-hua~2 WANG Ji-chun~2 (1 Anshan Normal University,Anshan Liaonin9 114005 China)(2 School of Science,Northeastern University,Shenyang Liaoning 110004 China);Passive Control for Bilinear Singular Systems[J];Journal of Biomathematics;2005-03
9 ZHANG Tong~1 FANG Dao-yuan~2 1 Zhijiang College,Zhejiang University of Technology,Hangzhou Zhejiang 310024 China 2 Department of Mathematics,Zhejiang University,Hangzhou Zhejiang 310027 China;A Kind of Epidemic Model with Infectious Force in Both Latent Period and Infected Period and Nonlinear Infection Rate[J];Journal of Biomathematics;2006-03
10 XIAO Shi-wu~1 WANG Wen-di~2 JIN Yu~2 (1 Department of Mathematics,Xiangfan University,Xiangfan Hubei 441053 China) (2 Department of Mathematics,Southwest China Normal University,Chongqing 400715 China);Asymptotic Behavior of a Predator-Prey Population Model with Stage-Structure[J];Journal of Biomathematics;2007-01
【Secondary References】
Chinese Journal Full-text Database 9 Hits
1 LI Jun-hong,CUI Ning,YU Xiu-ping(Department of Mathematics and Sciences,Hebei Institute of Architecture and Civil Engineering,Zhangjiakou Hebei 075024,China);Bifurcation and Chaos of a Dynamic SEIS Epidemic Model[J];Mathematics in Practice and Theory;2007-13
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 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
4 YU Yang,HU Zhi-xing(School of Applied Science,Beijing University of Science & Technology,Beijing 100083,China);An Analysis of Epidemiological Model with Constant Immigration and Quarantine[J];Journal of Shijiazhuang University;2006-06
5 ZHAO Wen-cai(College of Science,Shandong University of Science and Technology,Qingdao 266510,China);Global Dynamics Behaviors of an SIQR Epidemic Disease Model with Quarantine and Pulse Vaccination[J];Mathematics in Practice and Theory;2009-17
6 LI Qiu-ying ZHANG Feng-qin (Department of Mathematics Yuncheng University,Yuncheng Shanxi 044000 China);An Populaition-Epidemic Model with Quarantine and Stage Structure[J];Journal of Biomathematics;2009-04
7 LI Yu-qiang HE Guo-ping (College of Information Science and Engineering,SUST,Qingdao Shandong 266510China);A Study on Robust Infeasibility of Semidefinite Programming[J];Journal of Biomathematics;2009-04
8 XU Cuicui1,HE Xiaoliang2(1.Dept.of Basic,Mathematics,Shannxi Railway Institute,Weinan 714000,China;2.Xi'an Jiaotong University,Xi'an 710049,China);A SEIQR model with latent period and quarantine[J];Journal of Shangqiu Teachers College;2010-06
9 Han Chaofeng, Chen Zhongxin (Institute of Agricultural Resources and Regional Planning, the Chinese Academy of Agricultural Sciences, Key Laboratory of Resources Remote Sensing and Digital Agriculture, Ministry of Agriculture, Beijing 100081);Models for Driving Forces of Land Use/Cover Change: A Review[J];Chinese Agricultural Science Bulletin;2008-04
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