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《Journal of University of Shanghai for Science and Technology》 2010-04
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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
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【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
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【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
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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
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【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
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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
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