STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE  

作　　者：于宇梅 王稳地 

机构地区：[1]Department of Mathematics and Physics,Dalian Jiaotong University [2]Department of Mathematics,Southwest University

出　　处：《Acta Mathematica Scientia》2007年第3期645-655,共11页数学物理学报（B辑英文版）

基　　金：Project Supported by the National Natural Science Fund of China(10571143) the Research Fund of Southwest Normal University

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.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.

关 键 词：Global stability nonlinear acceptance innovation diffusion model 

分 类 号：O223[理学—运筹学与控制论]