Limit Cycles and Dynamics of Rumor Models

<p>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.</p>

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - restricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2013

Author dc:creator

• Odero, Geophrey Otieno, Mr.

• Basic reproduction number
• Halting rate
• Sensitivity analysis.
• Applied Mathematics
• Mathematics

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/1236

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-2419