Arts & Sciences Events

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[PAST EVENT] Honors Thesis defense: Chengli Huang

December 11, 2018
11am - 12pm
Location
Jones Hall, Room 131
200 Ukrop Way
Williamsburg, VA 23185Map this location
Access & Features
  • Open to the public

Honors Thesis defense: Chengli Huang (Adviser: Junping Shi)

Title: A Mathematical Study of Competition and Adoption of Two Consumer Products

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.