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Published:2007
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张慧敏. An SIR Epidemic Model with Vertical Transmission and Impulse Constant Vaccination[J]. 2007, (S1): 1-3.
DOI:
张慧敏. An SIR Epidemic Model with Vertical Transmission and Impulse Constant Vaccination[J]. 2007, (S1): 1-3. DOI:
讨论了一类具有垂直传染且具有脉冲常量预防接种的SIR模型
获得了阈值R0
当R01时
得到了无病周期解的局部和全局渐近稳定性.
Lakshmikantham V.Theory of impulsive differential equations[J].World Scientific,1989,35:568-575.
Shulgin B.Pulse vaccination strategy in the SIR epidemic model[J].Bull.Math.Biology,1998,60:1123-1148.
Stone L,Shulgin B,Agur Z.Theoretical examination of the pulse vaccination policyin the SIR epidemic model[J].Math.Computer Modelling,2000,31:207-215.
靳祯.在脉冲作用下的生态和流行病模型的研究[D].西安:西安交通大学博士论文,2001.
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