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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.
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This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Kane, Benjamin Lisehora, "The Probabilistic Spread of a Virus on a Network" (2014). Senior Projects Spring 2014. 306.
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