具有季节性的周期性传染病模型及基本再生数研究

Study on the Model of Periodic Infectious Disease with Seasonality and Basic Regeneration Number

基于传染病的季节性特征,研究一种周期不连续传染病模型,讨论其解的存在性和唯一性,通过引入的线性积分算子与谱半径定义了该周期不连续系统的基本再生数,并结合微分方程的相关思想给出该周期不连续系统的基本再生数,为后续周期不连续传染病模型的研究奠定了基础。

Based on the seasonal characteristics of infectious diseases,a model of periodic discontinuous infectious diseas⁃es is developed,and the existence and uniqueness of its solutions are discussed.The basic regeneration number of the peri⁃odic discontinuous system is defined by introducing linear integral operators and spectral radius,and the basic regeneration number of the periodic discontinuous system is given by combining the relevant ideas of differential equations.It lays a foundation for the study of subsequent cycle discontinuous infectious disease model.