| 摘要: |
| 为更好地针对霍乱传染病进行有效控制和预防，同时采用预防接种和积极对受污染水源进行消毒两种控制方法，再考虑到霍乱弧菌在不洁水源中会存活一段较长的时间，因此建立含有预防接种和水源消毒的霍乱时滞模型；对模型进行稳定性分析，但当时滞大小超过一个阙值的时候，稳定性发生变化，从而产生Hopf分支；最后通过实例进行模型数值模拟，研究这两种控制方法的有效性以及时滞大小对模型稳定性的影响。 |
| 关键词: 霍乱 时滞 疫苗接种 水源消毒 Hopf分支 |
| DOI： |
| 分类号: |
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| Analysis of Cholera Delay Model with Vaccination and Insecticides |
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LIAO Shu, YANG Wei ming
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| Abstract: |
| In order to better control and prevent cholera epidemic disease, a nonlinear delay mathematical model is proposed with two control methods of vaccination and insecticides, and time delay is incorporated in the model because the Vibrio cholera always survives for a long period of time in the contaminated water. The stability analysis of the model is conducted, but when the time delay length exceeds a threshold, the model has a destabilizing effect on the system, Hopf-bifurcation occurs. Finally, numerical simulation is used to study the validity of the two control methods and the effect of delay size on the stability of the model. |
| Key words: cholera time delay vaccination insecticides Hopf-bifurcation |
