Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30135
Prediction of Computer and Video Game Playing Population: An Age Structured Model

Authors: T. K. Sriram, Joydip Dhar

Abstract:

Models based on stage structure have found varied applications in population models. This paper proposes a stage structured model to study the trends in the computer and video game playing population of US. The game paying population is divided into three compartments based on their age group. After simulating the mathematical model, a forecast of the number of game players in each stage as well as an approximation of the average age of game players in future has been made.

Keywords: Age structure, Forecasting, Mathematical modeling, Stage structure.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1091070

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1464

References:


[1] S. Liu and L. Chen, "Recent Progress on Stage-Structured Population Dynamics," Mathematical and Computer Modelling, vol. 36, no. 11, pp. 1319-1360, 2002.
[2] E. Rogers, Diffusion of Innovations, New York: 4th Edition, The Free Press, 1995.
[3] W. G. Aiello and H. Freedman, "A Time-Delay Model of Single-Species Growth with Stage Structure," Mathematical Biosciences, vol. 101, no. 2, p. 139–153, 1990.
[4] J. Dhar, K. S. Jatav, "Mathematical Analysis of a Delayed Stage-Structured Predator–Prey Model with Impulsive Diffusion between Two Predators Territories”, Ecological Complexity (Elsevier) (in press), 2012.
[5] W. G. Aiello, H. I. Freedman and J. Wu, "Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay," SIAM Journal on Applied Mathematics, vol. 52, no. 3, pp. 855-869, 1992.
[6] Norhayati and G. C. Wake, "The Solution and the Stability of a Nonlinear Age-Structured Population Model," The ANZIAM Journal, vol. 45, no. 02, pp. 153-165, 2003.
[7] L. Abia, O. Angulo and J. López-Marcos, "Age-Structured Population Models and Their Numerical Solution," Ecological Modelling, vol. 188, no. 1, p. 112–136, 2005.
[8] J. Dhar and A.K. Sharma, "The Role of Viral Infection in Phytoplankton Dynamics with the Inclusion of Incubation Class”, Nonlinear Analysis: Hybrid Systems, vol. 4, no. 1, pp. 9-15, 2010.
[9] J. Dhar, "A prey‐Predator Model with Diffusion and a Supplementary Resource for the Prey in a Two‐Patch Environment”, Mathematical Modelling and Analysis, vol. 9, no. 1, pp. 9-24, 2004.
[10] S. Sinha, O.P. Misra and J. Dhar, "Modelling a Predator–Prey System with Infected Prey in Polluted Environment”, Applied Mathematical Modelling, vo. 34, no.7, pp. 1861-1872, 2010.
[11] ESA, "Essential Facts about the Computer and Video Game Industry," Entertainment Software Association (ESA), USA, 2006-2010.
[12] D. U.S., "http://www.census.gov/2010census/," 28 11 2012. (Online). Available: http://www.census.gov/2010census/.