Stability of innovation diffusion model with nonlinear acceptance

被引：11

作者：

Yu, Yumei ^{[1
]}

Wang, Wendi

机构：

[1] Dalian Jiaotong Univ, Dept Math & Phys, Dalian 116028, Peoples R China

[2] SW Univ, Dept Math, Chongqing 400715, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2007年 / 27卷 / 03期

关键词：

global stability; nonlinear acceptance; innovation diffusion model;

D O I：

10.1016/S0252-9602(07)60064-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：645 / 655

页数：11

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