Networked Infectious Disease–Contaminated Water Model

This paper proposes a continuous-time virus spreading model that includes a human-contact network and a water component that may be contaminated. The main motivating applications are modeling infectious waterborne diseases such as cholera, SARS, and amoebiasis (hand-to-mouth). We present the model and its derivation, explore the equilibria of the model, and analyze the healthy equilibria. We illustrate the behavior of the model via simulation, and demonstrate how the proposed model captures the behavior of Dr. John Snow's pioneering cholera dataset.