Date Thesis Awarded

12-2018

Document Type

Honors Thesis

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.

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