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《高校应用数学学报B辑(英文版)》 2004-01
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AN SIRS EPIDEMIC MODEL

Chen JunjieDept. of Math., Zhejiang Univ., Hangzhou 310027, China.  
This paper considers an SIRS epidemic model that incorporates constant immigrati on rate, a general population size dependent contact rate and proportional tran sfer rate from the infective class to susceptible class.A threshold parameter σ is identified. If σ≤1, the disease free equilibrium is globally stab le. If σ1, a unique endemic equilibrium is locally asymptotically stable. For two important special cases of mass action incidence and standard incidence, global stability of the endemic equilibrium is proved provided the threshold is larger than unity. Some previous results are extended and improved.
【Fund】: Supported by the Science and Technology Foundation of Zhejiang University(1 0 70 0 0 - 54430 1 )
【CateGory Index】: O29
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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
2 CHEN You-jin (School of Vocation and Technology of Tongcheng,Tongcheng 231400,China);Analysis of Global Dynamic in an Epidemical SEIS Model[J];Journal of Changzhou Vocational College of Information Technology;2004-02
3 CAO Yu,JING Yuan-wei,YUAN Feng,SHAO En-xiang(School of Information Science & Engineering,Northeastern University,Shenyang 110819,China.);Analysis of a SIRS Model with Nonlinear Incidence Rate on Complex Networks[J];Journal of Northeastern University(Natural Science);2012-01
4 ZHANG Jing1,XIE Shou-bo1,GAO Wen-jie2(1.College of Science,Qiqihar University,Qiqihar 161006,China;2.Institute of Mathematics,Jilin University,Changchun 130012,China);A study of SIRS epidemic model with two delays[J];Journal of Northeast Normal University(Natural Science Edition);2011-02
5 ZHANG-Hong,SUN Fa-guo,LI Hai-yun(School of Science,Xi′an Polytechnic University,Xi′an 710048,China);Global analysis of a SEIR epidemic model with nonlinear incidence rate[J];Basic Sciences Journal of Textile Universities;2011-04
6 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
7 ZHANG Juan,LI Jian-quan,MA Zhi-en(Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049);Global Analysis of SIR Epidemic Models with Population Size Dependent Contact Rate[J];Chinese Journal of Engineering Mathematics;2004-02
8 WANG La-di (Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006);The Global Analysis of Two Epidemic Models with Nonlinear Incidence Rate[J];Chinese Journal of Engineering Mathematics;2005-04
9 HU Zhi-xing, CHENG Xiao-wei, MA Wan-biao (Department of Applied Mathematics and Mechanics, Beijing University of Science and Technology, Beijing 100083);Analysis of an SIS Epidemic Model with Temporary Immunity and Nonlinear Incidence Rate[J];Chinese Journal of Engineering Mathematics;2009-03
10 Gao Jing-guang,Sun You-fa,Zhang Cheng-ke(Faculty of Economics and Management,Guangdong University of Technology,Guangzhou 510520,China);A SIRS Epidemic Model with Varying Population Size and Its Controlling Strategies[J];Journal of Guangdong University of Technology;2008-03
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