论文标题
感染年龄和空间扩散的流行病模型的适应性和稳定性分析
Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion
论文作者
论文摘要
研究了一个用于传染病扩散的隔室流行模型，该模型受到个体的运动受空间扩散的控制。该模型包括受感染个体的感染年龄，并假定了易感的物流生长。显示了非负平滑解决方案类别中方程的全局良好性。此外，得出了线性化的光谱特性。这产生了线性稳定性的概念，用于确定无病和地方性稳态的稳定性。
A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the susceptibles. Global well-posedness of the equations within the class of nonnegative smooth solutions is shown. Moreover, spectral properties of the linearization around a steady state are derived. This yields the notion of linear stability which is used to determine stability properties of the disease-free and the endemic steady state.
