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一类具有脉冲预防接种的SEIRS传染病模型的研究 被引量:1

A Study of SEIRS Epidemic Model with Pulse Vaccination Strategy
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摘要 研究了一类具有脉冲预防接种的SEIRS传染病模型,利用对模型等价系统的分析,得到了模型无病周期解具有全局吸引性的存在条件,并且给出了疾病的持久性的存在条件. In this paper, a disease transmission model of SEIRS type with pulse vaccination strategy is studied. We obtain the existence conditions with the global attractive of infectionfree periodic solution by the analysis of the equivalent system of the model, and give the existence of the persistent of the disease.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第14期210-217,共8页 Mathematics in Practice and Theory
基金 黑龙江省教育厅科学技术研究项目(11531426)
关键词 传染病模型 脉冲 时滞 epidemic model pulse delay
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参考文献5

  • 1Gao S, Chen L, Nieto J, Torres A. Analysis of a delayed epidemic model with pulse vaccination and saturation incidence[J]. Vaccine, 2006, 24: 6037-6045.
  • 2Meng X, Chen L, Chen H. Two profitless delays for the SEIRS epidemic disease model with nonlinearincidence and pulse vaccination[J]. Appl Math Comput, 2007, 186: 516-529.
  • 3Smart D R, Fixed Point Theorems[M1. Cambridge: Cambridge University Press, 1980.
  • 4Xiao Y, Chen L. Modelling and analysis of a predator-prey model with disease in the prey[J]. Math Biosci, 2001, 171: 59-82.
  • 5Gao S, Chen L, Teng Z. Impulsive vaccination of an SEIRS model with time delay and varying total population size[J]. Bull Math Biol, 2007, 69: 731-745.

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