Network television dynamics: a conceptual mathematical model
| dc.contributor.author | Maceyko, Aimee E | |
| dc.date.accessioned | 2015-09-16T17:07:50Z | |
| dc.date.available | 2015-09-16T17:07:50Z | |
| dc.date.issued | 2015-07 | |
| dc.description | 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. | en_US |
| dc.description.abstract | 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. | en_US |
| dc.description.college | College of Science and Engineering | en_US |
| dc.description.department | Mathematics and Statistics | en_US |
| dc.identifier.uri | http://hdl.handle.net/1969.6/640 | |
| dc.language.iso | en_US | en_US |
| dc.rights | This 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. | en_US |
| dc.subject | Routh-Hurwitz criteria | en_US |
| dc.subject | mathematical modeling | en_US |
| dc.subject | network television series | en_US |
| dc.subject | eigenvalue method | en_US |
| dc.subject | stability | en_US |
| dc.subject | dynamical system. | en_US |
| dc.title | Network television dynamics: a conceptual mathematical model | en_US |
| dc.type | Text | en_US |
| dc.type.genre | Thesis | en_US |
| thesis.degree.discipline | Mathematics | en_US |
| thesis.degree.grantor | Texas A & M University--Corpus Christi | en_US |
| thesis.degree.level | Masters | en_US |
| thesis.degree.name | Master of Science | en_US |