| 内生土地效用指数的城市经济增长优化配置模型 |
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| 引用本文： | 纪荣芳,国忠金. 内生土地效用指数的城市经济增长优化配置模型[J]. 山东大学学报(理学版), 2008, 43(6): 92-96 |
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| 作者姓名： | 纪荣芳 国忠金 |
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| 作者单位： | 泰山学院数学与系统科学系,山东,泰安,271021;泰山学院数学与系统科学系,山东,泰安,271021 |
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| 摘 要： | 通过将含环境因子的人口增长、土地效用指数与社会生产总量联系起来,引入含消费与土地效用指数的双变量效用函数,提出社会效用最大化问题。求解优化问题得到描述模型的三维动力系统并证明了系统存在惟一的双曲型平衡点。
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| 关 键 词： | 均衡点 土地效用指数 最优增长路径 稳定流形定理 |
| 收稿时间： | 2008-04-16 |
An economic growth model of optimization and allocation with endogenous utility index of lands |
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| JI Rong-fang,GUO Zhong-jin. An economic growth model of optimization and allocation with endogenous utility index of lands[J]. Journal of Shandong University, 2008, 43(6): 92-96 |
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| Authors: | JI Rong-fang GUO Zhong-jin |
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| Affiliation: | Department of Mathematics University of Taishan， Taian 271021， Shandong, China |
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| Abstract: | By integrating both population growths with environmental factor, utility index of land resources, and production amounts of society, and introducing a utility function with both consumption and utility index of land resources was introduced, and the optimization problem with infinite level was also presented. A three-dimension dynamic system was obtained by solving the optimization problem. It is proved that this system has unique non-zero positive equilibrium, which is a saddle. |
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| Keywords: | equilibrium point utility index of land resources optimal growth path stable manifold theorem |
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