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《Journal of Nanjing Normal University(Natural Science Edition)》 2013-02
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Dynamical Analysis of SEIRS Epidemic Model with Pulse Vaccination

Guo Zhongkai1,Wang Wenting2,Li Zizhen3(1.School of Technology and Engineering,Lanzhou University of Science and Technology,Lanzhou 730050,China)(2.School of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou 730030,China)(3.Key Laboratory of Arid and Grassland Agroecology of the Ministry of Education,Lanzhou University,Lanzhou 730000,China)  
The dynamical behavior of SEIRS epidemic model with generalized Logistic death and standard contact rate is investigated in this paper.Based on Floquet theory and comparison theorem of impulsive differential equation,the existence and globally asymptotical stability of infection free periodic solution are examined,then the critical value τ0,θ0 are obtained.Finally,numerical simulation reveals that the disease will become endemic when ττ0,θθ0.
【Fund】： 国家自然科学基金(30970478、30970491);; 中央高校基本科研业务费专项资金(zyz2011075)
【CateGory Index】： O175
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 PANG Guo-ping1,2,TAO Feng-mei1,3,CHEN Lan-sun1(1.Dept.of Appl.Math.,Dalian Univ.of Technol.,Dalian 116024,China; 2.Dept.of Math.& Comput.Sci.,Yulin Norm.Univ.,Yulin 537000,China;3.Dept.of Math.,Anshan Norm.Univ.,Anshan 114005,China);Analysis of SIRS model with saturated contact rate and pulse vaccination[J];Journal of Dalian University of Technology;2007-03
2 ZHAO Wen-cai,MENG Xin-zhu(College of Science,Shandong University of Science and Technology, Qingdao 266510,Shandong Province,China);Impulsively Vaccinating SIRS Epidemic Model with Logistic Death Rate[J];Journal of Jilin University(Science Edition);2009-06
3 ZHANG Pei-jun~1,LI Wei-de~1,LI Zi-zhen~(1,2),CHENG Lei-hu~1 (1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.Key Laboratory of Arid and Grassland Ecology with the Ministry of Education, Lanzhou University,Lanzhou 730000,China);Analysis of SEIQR epidemical model with continuous vaccinal immunity and bilinear incidence rate[J];Journal of Lanzhou University(Natural Sciences);2009-04
4 RI Rui-qing,YUAN Cun-de (Department of Mathematics and Computer,Shanxi Teachers University,Linfen Shanxi 041004,China);An Density-dependent Latent Peroid SEIRS Epidemic Model with Logistic Birth Rate and Continuous Vaccination[J];Journal of Shanxi Teachers University(Natural Science Edition);2005-04
5 GAO Shu-jing~(1,2) TENG Zhi-dong~1 (1 College of Mathematics and Systems Science,Xinjiang University,Urumqi Xinjiang 830046 China) (2 College of Mathematics and Computer Science,Gannan Normal University,Ganzhou Jiangxi 341000 China);Impulsive Vaccination of an SIRS Model with Saturation Infectious Force and Constant Recruitment[J];Journal of Biomathematics;2008-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHOU Zong-fu,JIANG Xiu-mei (School of Mathematical Science,Anhui University,Hefei 230039,China);Existence of periodic solutions of a functional differential equation with impulses[J];Journal of Anhui University(Natural Sciences);2009-03
2 LV Zhuoying1,ZHENG Yanlin2,ZHANG Lailiang1(1.Department of Public Courses,Shandong University of Science and Technology, Jinan 250031,China;2.School of Science,Shandong University of Science and Technology,Huangdao 266510,China);Razumikhin-type Theorems on Stability for Impulsive Integro-differential Systems[J];Journal of Chengdu University(Natural Science Edition);2011-02
3 REN Zhe,HU Xin-li(School of Science,Xi′an Polytechnic University,Xi′an 710048,China);Study of the SIRS epidemic model with the general death rate[J];Basic Sciences Journal of Textile Universities;2011-03
4 FENG Ju 1,LI Shu-yong 2 (1-College of Fine Arts,China West Normal University,Nanchong 637009;2-College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610068);Oscillation Properties of Solutions for a Class of Nonlinear Impulsive Parabolic Equations with Several Delays[J];Chinese Journal of Engineering Mathematics;2011-02
5 LIU Guo-gang (Dept.of Mathematics and Computing Science,Guangdong University of Business Studies,Guangzhou 510320,China);Impulsive synchronization of WINDMI chaotic system[J];Journal of Guilin University of Electronic Technology;2007-01
6 LI Bao-lin,MA Xue-min(School of Mathematics and Information Science,Northwest Normal University,Lanzhou 730030,China);Relation Between a Class of Impulsive Differential Systems and Kurzweil Generalized Ordinary Differential Equations[J];Journal of Gansu Sciences;2007-01
7 JIANG Xu-dong,LI Bao-lin(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China);Uniqueness of Bounded Φ-Variational Solutions for a Class of Impulsive Differential Systems at Fixed Time[J];Journal of Gansu Sciences;2010-02
8 HUANG Na,SHI Zhi-jie,HUANG Jian-min (Guangxi Normal University,Guilin,Guangxi,541004,China);Existence and Stability of Infection-free Periodic Solutions to Impulsively Vaccinating SIR Epidemic Model[J];Journal of Guangxi Academy of Sciences;2011-04
9 GU Ming-zhe,FENG Wei-zhen (School of Math.Sci.,South China Normal Univ.,Guangzhou 510631,China);Partial boundedness of the impulsive differential equations[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2012-01
10 KANG Ying,PENG Yun-fei(Department of Mathematics,Guizhou University,Guiyang 550025,China);Linear Differential Equation with Impulses at Variable Times[J];Journal of Guizhou University(Natural Science Edition);2011-01
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 PANG Guo-ping1,2,TAO Feng-mei1,3,CHEN Lan-sun1(1.Dept.of Appl.Math.,Dalian Univ.of Technol.,Dalian 116024,China; 2.Dept.of Math.& Comput.Sci.,Yulin Norm.Univ.,Yulin 537000,China;3.Dept.of Math.,Anshan Norm.Univ.,Anshan 114005,China);Analysis of SIRS model with saturated contact rate and pulse vaccination[J];Journal of Dalian University of Technology;2007-03
2 HAN Litao1,MA Zhien1,SHI Tan2 (1School of Science, Xi'an Jiaotong University, Xi'an 710049; 2Baoji College of Arts and Sciences, Baoji 721007);An Autonomous SIS Epidemic Model with Standard Incidence of Two Competitive Species[J];Chinese Journal of Engineering Mathematics;2003-04
3 WEI Wei1,LIU Shao-ping2,SHU Yun-xing1(1.Dept.of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471003,China;2.Dept.of Mathematics,Huazhong University of Science and Technology,Hubei Wuhan 430074,China);Qualitative Analyses of Pulse Vaccination in the SIR Epidemic Model with Vertical Transmission[J];College Mathematics;2008-03
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 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
6 Zhang Faqin1 ,Fan Yonghong2 ( 1.Department of Mathematics,Northwest Normal University,Lanzhou,730 0 70 ,China; 2 .Department of Mathematics,Lanzhou University,L anzhou,730 0 0 0 ,China);Qualitative Analysis of a Prey-Predator Model with Functional Response[J];Journal of Lanzhou University;2000-01
7 HAN Li-tao YUAN San-lmg MA Zhi-enFacuity of Science, Xi'An Jiaotong University, Xi'an Shanxi 710049 China;Stability of an SIRS Epidemic Model of Two Competitive Species[J];Journal of Biomathematics;2003-01
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 XU Wen-xiong ZHANG Zhong-hua XU Zong-ben (School of Science,Xi'an Jiaotong University,Xi'an Shanxi 710049 China);Asympotic Analysis of SEIS Model with General Saturated Contact Rate[J];Journal of Biomathematics;2005-03
10 MENG Xin-zhu1,2,CHEN Lan-sun2, SONG Zhi-tao1(1.College of Science,Shandong University of Science and Technology,Qingdao 266510,P.R.China;2.Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,P.R.China);Global Dynamics Behaviors for a New Delay SEIR Epidemic Disease Model With Vertical Transmission and Pulse Vaccination[J];Applied Mathematics and Mechanics;2007-09
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