CAJ | 학술논문

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.
본문시대주기전염병모형중기본재생수여하정의적일개간단종술.기우상미분방정(ODE)、시체미분방정(DDE)、편미분방정(PDE)、차분방정화맥충미분방정계통소묘술적모형,아문이용적분산자보반경적방법급출료저사불동류형모형적기본재생수적구체정의.기결과유조우류행병학가문유효지예측구유계절성파동전염병적발전추세.
@@@@This paper is a brief survey on how to define the basic reproduction number in seasonally forced epidemiological models. Applying the method of the spectral radius of the integral operator, we present the definitions of the basic reproduction number in different types of models, which involve a variety of mathematical areas, such as ODE (ordinary differential equations), DDE (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.