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中文摘要：
可辨识与否是模型的基本特性，也是研究模型参数估计的基础．在传染病动力学中，SIR模型仍是最常用的模型．该文研究了如何用高阶导数法与多观测点法判定SIR模型的可辨识性．研究表明针对SIR模型的可辨识技巧中多观测点法优于高阶导数法．不仅从理论上判定了SIR模型的可辨识性，而且结合流感疫情数据通过参数估计进一步验证了SIR模型的可辨识性．文中发展的技巧和方法有望推广到其他类型的传染病模型辨识和参数确定上．
英文摘要：
Whether a model can be identified is a basic characteristic of the model before studying parameter estimation. Until recently, the classical susceptible-infectious-recovered （SIR） model is still one of the most commonly used models. In present work the algebraic identifiability of the SIR model by using high-order derivative method （HODM） and multiple time points method （MTPM） was studied. The results indicate that the SIR model can be identified ff only the infectious was reported, and MTPM is much better than HODM. Using the data of the flu, the least square method was adopted to estimate the parameters of the SIR model. The result further confirmed that the SIR model was identifiable. The methods developed here could be applied to investigate other type models and left those for future studies.
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