论文标题
流行病学中空间分布的隔室模型中感染前线的传播
The propagation of infection fronts in spatially distributed compartment models in epidemiology
论文作者
论文摘要
探索了熟悉的疾病传播隔室模型的时空扩展，包括扩散行为，或者探索了单独位置的个体之间的相互作用。所考虑的模型具有反应扩散系统的特征，可以应用熟悉的技术。重点主要放在孤子样移动前部的外观上，这些移动前部传播到先前未感染的区域。揭示了接近阈值的动态临界行为和一定程度的普遍性。将两个模型扩展到包括易感性个体与受感染的个体之间二元相互作用的强度的简单非线性，我们发现具有不同感染水平的空间区域之间存在静态共存的可能性以及与热力学中一级过渡的类比。
Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of reaction-diffusion systems, which allow familiar techniques to be applied. The focus is largely on the appearance of soliton-like moving fronts that spread infection to previously uninfected regions. Near threshold dynamical critical behavior and a degree of universality are revealed. Extending two of the models to include a simple nonlinearity in the strength of the binary interaction between a susceptible individual and an infected one, we find the possibility of static coexistence between spatial regions with different levels of infection and an analogy with first-order transitions in thermodynamics.
