Acta mathematica scientia, Series B >
STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE
Received date: 2004-07-20
Revised date: 2005-12-11
Online published: 2007-07-20
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.
Yu Yumei , Wang Wendi . STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE[J]. Acta mathematica scientia, Series B, 2007 , 27(3) : 645 -655 . DOI: 10.1016/S0252-9602(07)60064-2
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