| 一类具有时滞和非线性传染率的SEIRS模型研究 |
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| 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(4):478-482. |
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| 作者姓名： | 杨金根 任磊 苏春华 |
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| 作者单位： | 信阳师范学院 数学与信息科学学院,河南 信阳,464000 |
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| 基金项目： | 河南省基础与前沿技术研究计划项目(132300410329，112300410244)；信阳师范学院青年基金项目 |
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| 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.
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| 关 键 词： | 时滞 全局吸引 脉冲微分系统 持续性 |
Studies on a SEIRS Epidemic Model with Time Delays and Nonlinear Incidence Rate |
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| Yang Jingen,Ren Lei,Shu Chunhua.Studies on a SEIRS Epidemic Model with Time Delays and Nonlinear Incidence Rate[J].Journal of Xinyang Teachers College(Natural Science Edition),2014(4):478-482. |
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| Authors: | Yang Jingen Ren Lei Shu Chunhua |
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| Institution: | Yang Jingen;Ren Lei;Shu Chunhua;College of Mathematics and Information Science,Xinyang Normal University; |
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| 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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| Keywords: | time delay global attractive impulsive differential system permanence |
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