| LV型电子商贸网站竞争系统的全局结构 |
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| 引用本文： | 周俊. LV型电子商贸网站竞争系统的全局结构[J]. 四川师范大学学报(自然科学版), 2009, 32(3). DOI: 10.3969/j.issn.1001-8395.2009.03.003 |
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| 作者姓名： | 周俊 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省教育厅青年基金 |
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| 摘 要： | 考虑一类二维竞争系统,其描述了两个相似电子商贸网站之间的市场竞争,这种竞争带有特殊的Winner-takes-all现象.研究了竞争系统推广的LV型系统,运用常微分方程定性理论和分岔理论得到了它的全局结构和分岔像图.说明了在不同参数条件下,网站竞争所出现的不同结果.
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| 关 键 词： | 电子商贸竞争系统 LV型系统 全局结构 鞍结分岔 叉分岔 |
Global Dynamics of LV Type Competitive E-commerce Web Sites System |
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| ZHOU Jun. Global Dynamics of LV Type Competitive E-commerce Web Sites System[J]. Journal of Sichuan Normal University(Natural Science), 2009, 32(3). DOI: 10.3969/j.issn.1001-8395.2009.03.003 |
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| Authors: | ZHOU Jun |
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| Affiliation: | College of Mathematics and Software Science;Sichuan Normal University;Chengdu 610066;Sichuan |
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| Abstract: | In this paper,we consider a 2-dimensional competitive system,which describes competition between two similar e-commerce web sites.This competition has a phenomenon called Winner-takes-all.We research its generalized Lotka-Volterra type system,and obtain global dynamics and bifurcation by using qualitative and bifurcation theorem on ordinary differential equations.It shows different results of web sites competition depending on different parameters. |
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| Keywords: | Competitive e-commerce web sites system Lotka-Volterra type system Global dynamics Saddle-node bifurcation Pitchfork bifurcation |
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