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Mathematics In Motion: Linear Systems Of Differential Equations On The Differential Analyzer, Devon A. Tivener
Mathematics In Motion: Linear Systems Of Differential Equations On The Differential Analyzer, Devon A. Tivener
Theses, Dissertations and Capstones
In this work, I will provide an introduction to the dierential analyzer, a machine designed to solve dierential equations through a process called mechanical integration. I will give a brief historical account of dierential analyzers of the past, and discuss the Marshall University Dierential Analyzer Project. The goal of this work is to provide an analysis of solutions of systems of dierential equations using a dierential analyzer. In particular, we are interested in the points at which these systems are in equilibrium and the behavior of solutions that start away from equilibrium. After giving a description of linear systems of …
Modeling Super-Spreading Events For Sars, Thembinkosi P. Mkhatshwa
Modeling Super-Spreading Events For Sars, Thembinkosi P. Mkhatshwa
Theses, Dissertations and Capstones
One of the intriguing characteristics of the 2003 severe acute respiratory syndrome (SARS) epidemics was the occurrence of super spreading events (SSEs). Super-spreading events for a specific infectious disease occur when infected individuals infect more than the average number of secondary cases. The understanding of these SSEs is critical to under- standing the spread of SARS. In this thesis, we present a modification of the basic SIR (Susceptible - Infected - Removed) disease model, an SIPR (Susceptible - Regular Infected - Super-spreader - Removed) model, which captures the effect of the SSEs.