| 张睿桐，曹连英*.具有季节性的周期性传染病模型及基本再生数研究[J].海南师范大学学报自科版,2023,36(4):376-381 |
| 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 |
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| DOI：10.12051/j.issn.1674-4942.2023.04.003 |
| 中文关键词: 周期不连续 基本再生数 传染病模型 |
| 英文关键词: periodic discontinuity basic regeneration number epidemic model |
| 基金项目:国家自然科学基金项目（12001088） |
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| 摘要点击次数: 382 |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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