p-Modulus on Networks with Applications to the Study of Epidemics
This project develops new mathematical theories and computational algorithms to capture the essential features of networks and applies them to models in epidemiology. Results from this project will allow researchers to identify a number of valuable patterns in the data, including the subpopulations at highest risk, vulnerable transmission pathways, and effective mitigation strategies. The investigators study the mathematical concept of p-modulus on networks, focusing on the analysis of theoretical properties, the development of numerical algorithms, and the study of applications to the spread of diseases in contact networks. This is an interdisciplinary project intended to enhance both the theoretical understanding of the ways in which diseases spread in an interconnected network of individuals or sub-populations, and the computational tools available to researchers interested in modeling, simulating, and predicting the behavior of epidemics.
Project duration September 15, 2015 - August 31, 2018
Aram Vajdi (Summer 2017-Present)
Heman Shakeri (Fall 2015-Spring 2017)
Products from The NetSE group
NODE group opportunities
Supported by National Science Foundation under Award DMS -1515810.