| 一类离散生态经济系统稳定性与分支研究 |
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| 引用本文： | 刘唯一,李必文,傅朝金. 一类离散生态经济系统稳定性与分支研究[J]. 数学杂志, 2016, 36(4): 809-819 |
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| 作者姓名： | 刘唯一 李必文 傅朝金 |
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| 作者单位： | 咸宁职业技术学院工学院, 湖北 咸宁 437100,湖北师范大学数学与统计学院, 湖北 黄石 435002,湖北师范大学文理学院, 湖北 黄石 435002 |
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| 基金项目： | 湖北省教育厅科学研究计划项目(B2015429);国家自然科学基金资助(61304057);湖北省教育厅优秀中青年科技创新团队资助(T2014212);咸宁职业技术学院校级课题(2015Y006). |
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| 摘 要： | 本文研究了一个离散生态经济模型的稳定性和分支问题.利用离散奇异系统理论,中心流形定理及Neimark-Sacker分支理论,得到了系统关于不动点的稳定性和Neimark-Sacker分支的有关结果,并与相应的连续模型进行对比分析.推广了文献[5]的结果.
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| 关 键 词： | Euler方法 稳定性 Neimark-Sacker分支 差分代数方程 |
| 收稿时间： | 2015-02-03 |
| 修稿时间： | 2015-10-19 |
STABILITY AND BIFURCATION RESEARCH ON A CLASS OF DISCRETE BIOLOGICAL ECONOMIC SYSTEM |
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| LIU Wei-yi,LI Bi-wen and FU Chao-jin. STABILITY AND BIFURCATION RESEARCH ON A CLASS OF DISCRETE BIOLOGICAL ECONOMIC SYSTEM[J]. Journal of Mathematics, 2016, 36(4): 809-819 |
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| Authors: | LIU Wei-yi LI Bi-wen FU Chao-jin |
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| Affiliation: | School of Technology, Xianning Vocational Technical College, Xianning 437100, China,School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China and School of Arts and Science, Hubei Normal University, Huangshi 435002, China |
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| Abstract: | The stability and bifurcation of a class of discrete biological economic system are studied. For this purpose, by discrete singular system theory, center manifold theorem and Neimark-Sacker bifurcation theory, some important results about the stability of fixed point and Neimark-Sacker bifurcation are obtained. The results about discrete system are comparatively analyzed with the corresponding continuous system, which extend the results in [5]. |
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| Keywords: | Euler method stability Neimark-Sacker bifurcation difference-algebraic equation |
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