| 一类时滞SIQS传染病模型的Hopf分支 |
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| 引用本文： | 刘娟. 一类时滞SIQS传染病模型的Hopf分支[J]. 北华大学学报(自然科学版), 2016, 17(5): 561-565. DOI: 10.11713/j.issn.1009-4822.2016.05.001 |
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| 作者姓名： | 刘娟 |
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| 作者单位： | 蚌埠学院数学与物理系,安徽 蚌埠,233030 |
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| 基金项目： | 安徽省高等学校省级自然科学研究项目(KJ2015A144) |
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| 摘 要： | 研究了一类具有非线性发生率的时滞SIQSR传染病模型的Hopf分支,以模型中染病者和隔离者的临时免疫期时滞为分支参数,利用特征值方法得到模型局部渐近稳定和Hopf分支存在的充分条件,并通过实例验证了所得结果的正确性.研究表明,延迟Hopf分支的发生,可以有效控制疾病的传播.
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| 关 键 词： | SIQS模型 稳定性 Hopf分支 时滞 |
Hopf Bifurcation of a Delayed SIQS Epidemic Model |
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| Abstract: | Hopf bifurcation of a delayed SIQS epidemic model with nonlinear incidence is investigated. Sufficient conditions for local stability and the existence of Hopf bifurcation are established by regarding the time delay due to the temporary period of the infective and the quarantined individuals as the bifurcation parameter. Finally,a numerical example is also provided to verify the obtained results. It is found that the disease can be controlled by putting off the occurrence of the Hopf bifurcation. |
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| Keywords: | SIQS model stability Hopf bifurcation delay |
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