Network television dynamics: a conceptual mathematical model


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A thesis in Mathematics submitted in partial fulfillment of the requirements for the degree of Masters in Science in Applied and Computational Mathematics from Texas A&M University Corpus Christi in Corpus Christi, Texas.
In this thesis we will be expanding on modifications we previously made relating to Edwards and Buckmire’s model of box office dynamics to network television. We will introduce the number of viewers with a negative reaction to the product as a function with respect to time. The interaction of the main parameters of the box office dynamics as they translate to the network television problem: viewership, revenue, and audience perception for television programming will be presented as a conceptual model of a system of three 1st order differential equations. The eigenvalue method, Routh-Hurwitz stability criterion, and control theory will be used to solve the problem and the stability of the solution will be checked. Finally, based on the numerical solution and its stability, recommendations will be presented.
Mathematics and Statistics
College of Science and Engineering