Off-campus ETSU users: To download "Campus Only" theses, please use the following link to log in to our proxy server with your ETSU username and password.
Non-ETSU users: Please talk to your librarian about requesting this thesis through interlibrary loan.
MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Jeff Knisley, Michele Joyner
This thesis discusses limit cycles and behavior of rumor models. The first part presents the deterministic Daley-Kendall model (DK) with arrivals and departures and comparison of the Susceptibles, Infectives and Removed (SIR) model and the DK model. The second result is a part of the qualitative analysis and the general behavior of extension of the Daley-Kendall model. Here we discuss how the halting rate of spreaders causes the model to change from a stable equilibrium or a stable limit cycle. In the third part we carry out model validation and use both synthetic data and real data sets and fit them to the numerical solutions of the extended Daley-Kendall model. Finally, we find the parameter estimates and standard errors. In this way we shall be able to decide whether the numerical solutions quantifying the relationships between the variables obtained from the qualitative analysis can be accepted as the best description of the data. We discuss sensitivity analysis results and traditional sensitivity functions.
Thesis - restricted
Odero, Geophrey Otieno Mr., "Limit Cycles and Dynamics of Rumor Models" (2013). Electronic Theses and Dissertations. Paper 1236. https://dc.etsu.edu/etd/1236
Copyright by the authors.