| 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. |
| 关键词: Euler方法 稳定性 Neimark-Sacker分支 差分代数方程 |
| DOI： |
| 分类号:0193;0241.84;0155 |
| 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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| STABILITY AND BIFURCATION RESEARCH ON A CLASS OF DISCRETE BIOLOGICAL ECONOMIC SYSTEM |
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LIU Wei-yi1, LI Bi-wen2, FU Chao-jin3
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1.School of Technology, Xianning Vocational Technical College, Xianning 437100, China;2.School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China;3.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]. |
| Key words: Euler method stability Neimark-Sacker bifurcation difference-algebraic equation |
