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《Journal of Jiangxi Normal University(Natural Sciences Edition)》 2008-01
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A Kind of SEIR Epidemic Model with Impulsive Vaccinationand Class Age-Structure

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)  
In this paper,we establish a kind of new class age-structure SEIR epidemic model with impulsive vaccination and nonlinear infectivity,which contains ODEs and PDEs at the same time.We demonstrate that the disease-free periodic solution is a global attraction if the reproductive number of infective is less than one.
【Fund】: 江西省自然科学基金资助项目(0611084)
【CateGory Index】: R181.3
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 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
2 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
3 XU Wen-xiong,ZHANG Su-xia(School of Sciences,Xi'an Jiaotong University,Xi'an 710049,China);Asymptotic behavior of a nonlinear infection-age-dependentepidemic model[J];Pure and Applied Mathematics;2005-03
4 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
5 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
6 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
7 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
8 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
9 XU Wen-xiong, ZHANG Zhong-hua (School of Science, Xi’an Jiaotong University, Xi’an 710049);The Study on Dynamic Behavior of SIR Epidemiological Model with Nonlinear Saturated Contact Rate Under Vaccination[J];Chinese Journal of Engineering Mathematics;2004-05
10 XU Wen-xiong~1 ZHANG Tai-lei~2 XU Zong-ben~1 (1-School of Science,Xi'an Jiaotong University,Xi'an 710049;2-College of Mathematics and System Seciences,Xinjiang University,Urumqi 830046);Global Stability for a Non-linear High Dimensional Autonomous Differential System SEIQR Model in Epidemiology[J];Chinese Journal of Engineering Mathematics;2007-01
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