A mathematical model is developed to describe the dynamics of the spread of a waterborne disease among communities located along a flowing waterway. The model is formulated as a system of reaction–diffusion–advection partial differential equations in this spatial setting. The compartments of the model consist of susceptible, infected, and recovered individuals in the communities along the waterway, together with a term representing the pathogen load in each community and a term representing the spatial concentration of pathogens flowing along the waterway. The model is applied to the cholera outbreak in Haiti in 2010.

中文翻译：

---

模拟区域社区传染性病原体的水性运输：在海地霍乱爆发中的应用

开发了一个数学模型来描述水传播疾病在沿流动水道的社区之间传播的动态。在这种空间环境中，该模型被表述为反应-扩散-平流偏微分方程系统。该模型的隔间由沿水道社区中的易感、感染和康复个体组成，以及一个代表每个社区中病原体负荷的项和一个代表沿水道流动的病原体的空间浓度的项。该模型应用于2010年海地霍乱疫情。