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《Journal of Southeast University(Natural Science Edition)》 2007-S2
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Analysis of biology dangerous source diffusing dynamics model in population migration

Qu Linbo Han Ruizhu (School of Economics and Management,Southeast University,Nanjing 210096)  
To solve the problem of epidemic control in population migration, two cities with intermigration were taken for study example.A SIR(susceptibles infectives recoveries) model of bilinear incidence was established,and the epidemic was prevented and controlled by means of pulse vaccination. The infection-free periodic solution and the threshold determining are obtained.The model's local stability and global stability are proved by Fioquet theory and impulsive differential inequality.Furthermore,all the theories are verified by Matlab simulation.The results show that pulse vaccination can not only greatly reduce the quantity of infection,but also shorten the epidemical period.
【Fund】: 国家自然科学基金资助项目(70671021);; “十一五”国家科技支撑计划课题“现代物流综合管理关键技术与平台”资助项目(2006BAH02A06)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 ZHOU Ling-li, HU Xin-li, SUN Chuan-jiao (1. School of Science,Xi' an Jiaotong University,Xi' an 710049; 2. Institute of Math, and Phy.,XAUEST, Xi' an 710048,China);Asymptotic analysis of a SIS model with pulse vaccination[J];Basic Sciences Journal of Textile Universities;2003-02
2 (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
3 Lin Xiujuan Jin Zhen(Department of Mathematics,North University of China,Taiyuan 030051,China);An SIQR Epidemic Model With Impulsive Vaccination[J];Journal of Taiyuan Normal University(Natural Science Edition);2006-04
4 Zhang Juan,Ma Zhi′en(School of Sciences, Xi′an Jiaotong University, Xi′an 710049, China);Global Analysis of SEI Epidemic Model with the Constant Inflows of Different Compartments[J];Journal of Xi'an Jiaotong University;2003-06
5 GOU Qing-ming~(1,2),WANG Wen-di~11.School of Mathematics and Finance,Southwest University,Chongqing 400715,China;2.Dept.of Mathematics,Fuling Teachers College,Fuling Chongqing 408003,China;The Stability of an Epidemic Model with Dispersal[J];Journal of Southwest China Normal University(Natural Science Edition);2006-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Shu wen (Institute of Biomathematics,Anshan Teachers College,Anshan Liaoning 114005,China);The Study for One-compartment Model of Peridic Pulse Dosage[J];Journal of Anshan Teachers College;2001-03
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
3 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
4 LIU Yingdong(School of Science,Beijing Jiaotong University,Beijing 100044,China);A diffusion epidemic model with vertical infection and vaccination[J];Journal of Beijing Jiaotong University;2012-03
5 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
6 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
7 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);A Kind of SEIR Epidemic Model with Impulsive Vaccinationand Class Age-Structure[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-01
8 ZHAO Jun-ping(School of Sciences,Xi'an University of Architecture and Technology,Xi'an Shanxi 710055,China);The Stability Analysis for a SEIRS Epidemic Model with General Screening Function and Latent-Age Dependence[J];Journal of Jiangxi Normal University(Natural Science Edition);2011-05
9 HU Xinli(School of Science,Xi′an Polytechnic University,Xi′an 710048,China);The existence of periodic solutions for a SIR epidemic model with constant birth rate[J];Pure and Applied Mathematics;2007-03
10 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
China Proceedings of conference Full-text Database 4 Hits
1 YANG Shi-jie,WU Wei-ping (Institute of Parasitic Disease,Chinese Centre for Disease Control and Prevention, Shanghai,200025,China);Transmission Dynamics Model of Echinococcosis Granulosa and Its Application[A];[C];2008
2 XIAO Yan-ni, QIN Hua-shu (Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100080);Pulse vaccination strategy and impulsive control in the SEIR epidemic model[A];[C];2002
3 MI Chuan-min~1 LIU Si-feng~1 MI Chuan-jun~2 (1.Nanjing University of Aeronautics and Astronautics,School of Economics and Management,Nanjing 210016,China;2.Beijing Institute of Technology,College of Management and Economics,Beijing 100011,China);Study on the Diffusion of Enterprise Group Internal Distress based on SEIRS Model[A];[C];2007
4 Yao Chen 1,2 ,Zhongyi Xiang 1 1.Department Of Mathematics, Hubei University For Nationalities, Enshi Hubei 4450002. Science And Technology College Of Hubei University For Nationalities, Enshi Hubei 445000;The Globally Attractivity Of A SIV Epidemic Disease Model With Two Delays And Pulse Vaccination[A];[C];2013
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 (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
2 Zhang Shangli (Mathematics Department of Northern Jiaotong University, Beijing 100O44) Fang Huaqiang (Mathematics Department of Central China Normal University, Wuhan 430O79);The Dispersal Properties of a Class of Epidemic Models[J];JOURNAL OF BIOMATHEMATICS;1999-03
3 JINYu~1,ZHANGYong~2,WANG Wen-di~1 1. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China; 2. Chengdu Oriental Bilingual School, Chengdu Sichuan 610100, China;An Epidemic Model with Stage Structure[J];Journal of Southwest China Normal University(Natural Science);2003-06
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