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Abstract

As social networking services become more complex and widespread, users become increasingly susceptible to becoming infected with malware and risk their data being compromised. In the United States, it costs the government billions of dollars annually to handle malware attacks. Additionally, computer viruses can be spread through schools, businesses, and individuals’ personal devices and accounts. Malware affecting larger groups of people causes problems with privacy, personal files, and financial security. Thus, we developed the probabilistic SMIRQ (pSMIRQ) model that shows how a virus spreads through a generated network as a way to track and prevent future viruses. Our model is an extension of the standard SEIR model used in epidemiology. Notably, our model improves upon SEIR models for this class of problem by accounting for the connections between individuals in social media networks. We modeled this by generating a random-scale free node network via the Barabási-Albert (BA) Algorithm, while maintaining the analytical benefits of SEIR models.

Author Bio

Justin Browning is an undergraduate Mathematics and Computer Science student at the University of North Texas. After graduating from his bachelors program, he would like to undertake a P.hD. program in Applied Mathematics. His interests are in building bridges between mathematical theory and the application of Mathematics in the Sciences. Outside of Mathematics he is involved in climate activism and advocates for civil rights.

Arnav Mazumder is a 12th grade student at the Texas Academy of Mathematics and Science and is studying computer science. In the Fall of 2023, he will be pursuing a Bachelor’s degree in Computer Science. Some of his other interests lie in mathematical and statistical models, music, and hiking.

Gowri Nanda is a 12th grade student at the Texas Academy of Mathematics and Science and is studying computer science. She will be pursuing a Bachelor’s degree in Computer Science in the Fall of 2023. She is also interested in applied mathematics, astronomy, physics, art, and music. They completed their work under the supervision and guidance of Noelle West.

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