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杨金根, 任磊, 苏春华. 一类具有时滞和非线性传染率的SEIRS模型研究[J]. 信阳师范学院学报(自然科学版), 2014, 27(4): 478-482. DOI: 10.3969/j.issn.1003-0972.2014.04.003
引用本文: 杨金根, 任磊, 苏春华. 一类具有时滞和非线性传染率的SEIRS模型研究[J]. 信阳师范学院学报(自然科学版), 2014, 27(4): 478-482. DOI: 10.3969/j.issn.1003-0972.2014.04.003
shu
Yang Jingen , Ren Lei , Su Chunhua . Studies on a SEIRS Epidemic Model with Time Delays and Nonlinear Incidence Rate[J]. Journal of Xinyang Normal University (Natural Science Edition), 2014, 27(4): 478-482. DOI: 10.3969/j.issn.1003-0972.2014.04.003
Citation: Yang Jingen , Ren Lei , Su Chunhua . Studies on a SEIRS Epidemic Model with Time Delays and Nonlinear Incidence Rate[J]. Journal of Xinyang Normal University (Natural Science Edition), 2014, 27(4): 478-482. DOI: 10.3969/j.issn.1003-0972.2014.04.003
shu

一类具有时滞和非线性传染率的SEIRS模型研究

Studies on a SEIRS Epidemic Model with Time Delays and Nonlinear Incidence Rate

    摘要
  • 摘要: 根据流行病的传播规律,建立了一类具有时滞和非线性发生率的SEIRS流行病脉冲微分系统,证明了系统无病周期解的存在性和全局吸引性,并进一步给出了系统持续生存的条件

     

    Abstract: According to the propagation of the epidemic, a SEIRS epidemic system with time delays and nonlinear incidence rate was established. The existence and global attractivity of the infectionfree periodic solution were proved. In the end, the sufficient conditions for which the system is persist were obtained.

     

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