发表机构
College of Mathematics and Physics, Beijing University of Chemical Technology; School of Mathematical Sciences, Beijing Normal University（北京化工大学理学院; 北京师范大学数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文为几乎周期非稠密定义柯西问题建立了基本再生数理论，通过演化半群定义$R_0$，并应用于年龄结构模型和泛函微分系统。
AI 中文摘要
本文建立了几乎周期非稠密定义柯西问题中基本再生数 $R_0$ 的理论。首先，我们给出了线性几乎周期非稠密定义柯西问题的一些动力学性质。然后，我们在几乎周期函数空间上定义了演化半群，研究了它们的无穷小生成元，并定义了基本再生数 $R_0$。最后，我们将所发展的理论应用于年龄结构模型和泛函微分系统。
英文摘要
The theory of the basic reproduction ratio $R_0$ is established for the almost periodic non-densely defined Cauchy problems. Firstly, we present some dynamical properties of the linear almost periodic non-densely defined Cauchy problems. Then we define the evolution semigroups on the space of almost periodic functions, investigate their infinitesimal generators and define the basic reproduction ratio $R_0$. Finally, our developed theory is applied to age-structured models and functional differential systems.
Comments43 pages
