论文标题
通过活性布朗颗粒中的微观过程了解传染动力学
Understanding Contagion Dynamics through Microscopic Processes in Active Brownian Particles
论文作者
论文摘要
与普遍认可的SIR模型一起，已经采用了几种方法来了解相互作用粒子的传染性动力学。在这里，引入了活跃的布朗颗粒（ABP），以模拟活着的生物传染剂的传染动力学，这些动态在时空中传播传染病。对几个人口密度和传染性率进行了模拟。我们的结果表明，ABP不仅重现了传统的SIR模型中观察到的时间依赖性，而且还使我们能够探索促进病毒扩散的临界密度，传染性半径和随机恢复时间。此外，我们根据微观参数得出了传染率的第一原理分析表达，而没有假设自由参数作为基于经典的SIR模型。这种方法提供了一种新颖的替代方法，将微观过程纳入对基于SIR模型的分析与广泛的生物系统中的应用
Together with the universally recognized SIR model, several approaches have been employed to understand the contagious dynamics of interacting particles. Here, Active Brownian particles (ABP) are introduced to model the contagion dynamics of living agents that spread an infectious disease in space and time. Simulations were performed for several population densities and contagious rates. Our results show that ABP not only reproduces the time dependence observed in traditional SIR models, but also allows us to explore the critical densities, contagious radius, and random recovery times that facilitate the virus spread. Furthermore, we derive a first-principles analytical expression for the contagion rate in terms of microscopic parameters, without the assumption of free parameters as the classical SIR-based models. This approach offers a novel alternative to incorporate microscopic processes into the analysis of SIR-based models with applications in a wide range of biological systems
