Display Abstract

Title A Differential Model of Television Viewership

Name Mufid Abudiab
Country USA
Email mufid.abudiab@tamucc.edu
Co-Author(s) Aimee Maceyko and Dr. Mufid Abudiab
Submit Time 2014-03-30 14:47:55
Session
Special Session 129: Qualitative and Quantitative Techniques for Differential Equations arising in Economics, Finance and Natural Sciences
Contents
In our paper we modify the model of box office dynamics created by Edwards and Buckmire by expanding the application to network television series. A system of differential equations that models network television viewership and corresponding ad revenue will be introduced. Variables and parameters of our model will be relevant to network television business. The eigenvalue method will be used to solve the problem and the stability of the solution will be checked. Finally, based on the analytical solution and its stability, recommendations related to issues and characteristics that are unique to network television will be presented to people in this industry. Key words: Box office dynamics, mathematical modeling, network television series, eigenvalue method, stability.