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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
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【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
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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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