Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664731 | Acta Mathematica Scientia | 2007 | 11 Pages |
Abstract
In this article, an innovation diffusion model with the nonlinear acceptance is proposed to describe the dynamics of three competing products in a market. It is proved that the model admits a unique positive equilibrium, which is globally stable by excluding the existence of periodic solutions and by using the theory of three dimensional competition systems.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)