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一类创新产品扩散模型的稳定性分析
  • ISSN号：0559-9342
  • 期刊名称：《水力发电》
  • 时间：0
  • 分类：O193[理学—数学;理学—基础数学] C931[经济管理—管理学;社会学]
  • 作者机构：[1]广西工学院管理系,广西柳州545006
  • 相关基金：国家自然科学基金（70831005）资助.
作者： 廖志高[1]
关键词： 创新产品, 技产品扩散, 扩散模型, new product, product diffusion, diffusion model
中文摘要：

在考虑存在竞争产品、周期广告投入、产品使用寿命及兼顾市场价格对创新产品市场最大潜力的影响基础上，建立了一类新的技术创新扩散微分动力学速度模型．根据微分动力学系统稳定理论，对该微分动力学模型进行了稳定性分析．发现在满足一定的条件下，该技术创新市场扩散量会存在至少一个周期解，并在一定条件下是全局稳定的．

英文摘要：

With a brief review of the developing process of the research on new product diffusion, a dynamical model is formulated, in which the competitor, periodical advertisements and the product life-span are taken into consideration. And in this model the market price will affect the market potential. If given a restrict condition, the model has at least a positive periodic solution with a stability analysis on it. And the solution is global stable with another restrict condition.

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期刊信息
  • 《水力发电》
  • 中国科技核心期刊
  • 主管单位:国务院国有资产监督管理委员会
  • 主办单位:水电水利规划设计总院
  • 主编：徐方军
  • 地址：北京市西城区德外六铺炕北小街2号
  • 邮编：100120
  • 邮箱：waterpower1954@hydrochina.com.cn
  • 电话：010-51973066
  • 国际标准刊号：ISSN：0559-9342
  • 国内统一刊号：ISSN：11-1845/TV
  • 邮发代号:2-428
  • 获奖情况:
  • 全国优秀科技期刊,电力工业部优秀科技期刊,北京全优科技期刊,中国期刊方阵“双百”期刊
  • 国内外数据库收录:
  • 波兰哥白尼索引,荷兰文摘与引文数据库,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:11719