Date Thesis Awarded
12-2018
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Junping Shi
Committee Members
Anh Ninh
Dan Runfola
Abstract
A mathematical model describing the competition between two consumer products in the market is constructed based on the Bass Diffusion Model and the competitive Lotka-Volterra model. Using this proposed model, the long-term behaviors of the two competing products can be forecasted. The model is analyzed and categorized into eight different cases with different settings of parameters, and under any of those cases, the two products are proved to co-exist in the long term.
Recommended Citation
Huang, Chengli, "A Mathematical Study of Competition and Adoption of Two Consumer Products" (2018). Undergraduate Honors Theses. William & Mary. Paper 1270.
https://scholarworks.wm.edu/honorstheses/1270
