"The Probabilistic Spread of a Virus on a Network" by Benjamin Lisehora Kane

Date of Submission

Spring 2014

Academic Programs and Concentrations

Mathematics

Project Advisor 1

Sam Hsiao

Abstract/Artist's Statement

This project looks at the spread of a virus on different types of graphs. We first look at different types of simple graphs, such as trees, cycles, and complete graphs. We develop formulas to determine the probability that a point, $w$ is infected at a given time, $t$. After that, we move on to looking at the spread of a virus on a grid. This was done by running a series of simulations at varying distances, fixing the probability of the virus spreading along an edge of the grid constant.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

This work is protected by a Creative Commons license. Any use not permitted under that license is prohibited.

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