@inproceedings{bibcite_176, author = {Brooks Butler and Ciyuan Zhang and Ian Walter and Nishant Nair and Raphael Stern and Philip Par{\'e}}, title = {The Effect of Population Flow on Epidemic Spread: Analysis and Control}, abstract = {In this paper, we present a discrete-time networked SEIR model using population flow, its derivation, and assumptions under which this model is well defined. We identify properties of the system{\textquoteright}s equilibria, namely the healthy states. We show that the set of healthy states is asymptotically stable, and that the value of the equilibria becomes equal across all sub-populations as a result of the network flow model. Furthermore, we explore closed-loop feedback control of the system by limiting flow between sub-populations as a function of the current infected states. These results are illustrated via simulation based on flight traffic between major airports in the United States. We find that a flow restriction strategy combined with a vaccine roll-out significantly reduces the total number of infections over the course of an epidemic, given that the initial flow restriction response is not delayed.}, year = {2021}, journal = {2021 60th IEEE Conference on Decision and Control (CDC)}, month = {12}, url = {https://par.nsf.gov/biblio/10320297}, doi = {10.1109/CDC45484.2021.9683081}, }