Network television dynamics: a conceptual mathematical model

dc.creatorMaceyko, Aimee E
dc.date2015-09-16T17:07:50Z
dc.date2015-09-16T17:07:50Z
dc.date2015-07
dc.descriptionA 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.
dc.descriptionIn 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.
dc.descriptionMathematics and Statistics
dc.descriptionCollege of Science and Engineering
dc.identifierhttp://hdl.handle.net/1969.6/640
dc.languageen_US
dc.rightsThis material is made available for use in research, teaching, and private study, pursuant to U.S. Copyright law. The user assumes full responsibility for any use of the materials, including but not limited to, infringement of copyright and publication rights of reproduced materials. Any materials used should be fully credited with its source. All rights are reserved and retained regardless of current or future development or laws that may apply to fair use standards. Permission for publication of this material, in part or in full, must be secured with the author and/or publisher.
dc.subjectRouth-Hurwitz criteria
dc.subjectmathematical modeling
dc.subjectnetwork television series
dc.subjecteigenvalue method
dc.subjectstability
dc.subjectdynamical system.
dc.titleNetwork television dynamics: a conceptual mathematical model
dc.typeText
dc.typeThesis

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