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中文摘要：
本文是对周期传染病模型中基本再生数如何定义的一个简单综述．基于常微分方程（ODE）、时滞微分方程（DDE）、偏微分方程（PDE）、差分方程和脉冲微分方程系统所描述的模型，我们利用积分算子谱半径的方法给出了这些不同类型模型的基本再生数的具体定义．其结果有助于流行病学家们有效地预测具有季节性波动传染病的发展趋势．
英文摘要：
This seasonally forced integral operator, of models, which equations）, DDE paper is a brief survey on how to define the basic reproduction number in epidemiological models. Applying the method of the spectral radius of the we present the definitions of the basic reproduction number in different types involve a variety of mathematical areas, such as ODE （ordinary differential （delay differential equations）, PDE （partial differential equations）, system of difference equations, system of impulsive differential equations. The results can help epi- demiologists effectively to predict the development trend of infectious diseases with seasonal fluctuation.
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