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《College Mathematics》 2008-03
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Qualitative Analyses of Pulse Vaccination in the SIR Epidemic Model with Vertical Transmission

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)  
Pulse Vaccination in the SIR epidemic model with vertical transmission is studied in this paper.For Proportional Vaccination model it is proved the global stability of an infection-free periodic solution and Basic reproductive number.Our theoretical results are confirmed by numerical simulations.
【Fund】: 河南省自然科学基金资助项目(0511053100)
【CateGory Index】: O175.13;O242.1
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