A Vector-Host Epidemic Model with Spatial Structure and Age of Infection

具有感染年龄与空间扩散的流行病模型型的适定性与稳定性分析

Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion

本文研究了一个包含感染年龄和空间扩散的传染病仓室流行病模型，证明了其全局适定性，并通过线性化推导出稳态附近的谱性质以确定无病和地方病稳态的稳定性。

Global $L^\infty$-bounds and long-time behavior of a diffusive epidemic system in heterogeneous environment

In this paper, we are concerned with an epidemic reaction-diffusion system with nonlinear incidence mechanism of the form $S^qI^p\,(p,\,q>0)$. The coefficients of the system are spatially heterogeneous and time dependent (particularly time periodic). We first establish the $L^\infty$-bounds of the solutions of a class of systems, which improve some previous results in [58]. Based on such estimates, we then study the long-time behavior of the solutions of the system. Our results reveal the delicate effect of the infection mechanism, transmission rate, recovery rate and disease-induced mortality…

通过保持社交距离和疫苗接种对按感染后时间结构化的感染进行最优流行病控制：COVID-19案例研究

Optimal epidemic control by social distancing and vaccination of an infection structured by time since infection: the covid-19 case study

针对按感染后时间结构化的COVID-19传播，本文结合分阶段可用的社交距离与疫苗接种建立最优控制模型，证明最优控制对存在并给出必要条件及解的性质。

Novel Spatial Profiles of Population Distribution of Two Diffusive SIS Epidemic Models with Mass Action Infection Mechanism and Small Movement Rate for the Infected Individuals

In this paper, we are concerned with two SIS epidemic reaction-diffusion models with mass action infection mechanism of the form $SI$, and study the spatial profile of population distribution as the movement rate of the infected individuals is restricted to be small. For the model with a constant total population number, our results show that the susceptible population always converges to a positive constant which is indeed the minimum of the associated risk function, and the infected population either concentrates at the isolated highest-risk points or aggregates only on the highest-risk inte…

A study on the transmission dynamics of COVID-19 considering the impact of asymptomatic infection

The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic. To evaluate the role of asymptomatic infections in the spread of the epidemic, we develop mathematical models to assess the proportion of asymptomatic infections caused by different strains of the main covid-19 variants. The analysis shows that when the control reproduction number is less than 1, the disease-free equilibrium point of the model is globally asymptotically stable; and when the control reproduction number is greater than 1, the …

具有感染依赖性恢复率的扩散性流行病模型中的复杂动力学与斑图形成

Complex dynamics and pattern formation in a diffusive epidemic model with an infection-dependent recovery rate

本文提出一个感染依赖性恢复率的扩散流行病模型，通过分支分析揭示图灵失稳和时空斑图，发现异步复发与局部热点，建议空间针对性防控策略。