| STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE |
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| 作者姓名： | 于宇梅 王稳地 |
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| 作者单位： | Department of Mathematics and Physics Dalian Jiaotong University，Department of Mathematics，Southwest University，Dalian 116028，China，Chongqing 400715，China |
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| 基金项目： | 国家自然科学基金，西南师范大学研究基金 |
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| 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.
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| 关 键 词： | 非线性收敛 全局稳定性 扩散模型 市场竞争 |
| 收稿时间： | 20 July 2004 |
| 修稿时间： | 2004-07-202005-12-11 |
Stability of innovation diffusion model with nonlinear acceptance |
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| Yumei Yu,Wendi Wang.STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE[J].Acta Mathematica Scientia,2007,27(3):645-655. |
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| Authors: | Yumei Yu Wendi Wang |
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| Institution: | 1. Department of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China ;2. Department of Mathematics, Southwest University, Chongqing 400715, China |
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| 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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| Keywords: | Global stability nonlinear acceptance innovation diffusion model |
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