| 一类CKF模型稳态解的存在唯一性及其性质 |
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| 引用本文： | 蔡东汉.一类CKF模型稳态解的存在唯一性及其性质[J].武汉大学学报(理学版),2000,46(1):5-8. |
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| 作者姓名： | 蔡东汉 |
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| 作者单位： | 武汉大学数学与计算机科学学院,武汉430072 |
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| 基金项目： | 国家自然科学基金(79970104)资助项目 |
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| 摘 要： | 在非强可加的Cobb-Douglas型效用函数下建立了含内生生育率的C-K模型，即CKF模型．证明模型至少存在的一个非零的稳态解，当参数满足一定条件时，稳态解是唯一的．稳态解处人口生育率与子女抚养时间成反比．与人口生育率界限成正比．讨论家庭消费、人口生育偏好和技术水下对经济发展最终状况的影响．
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| 关 键 词： | CKF模型 Cobb-Douglas 效用函数稳态解 子女抚养时间，生育率界限 |
| 文章编号： | 0253-9888(2000)0l-0005-04 |
| 修稿时间： | 1999-05-03 |
The Existence and Uniqueness of a Kind of CKF Model and Its Properties |
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| CAI Dong-han.The Existence and Uniqueness of a Kind of CKF Model and Its Properties[J].JOurnal of Wuhan University:Natural Science Edition,2000,46(1):5-8. |
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| Authors: | CAI Dong-han |
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| Institution: | CAI Dong-han ;
(College of Mathematics and Computer Science, Wuhan University, Wuhan 430072, China) |
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| Abstract: | The CKF Model under the Cobb-Douglas utility function is obtained in this paper. It is proved that at least one nonzero steady state and one growth path exist. The nonzero steady state and the growth paths is unique when the parameters satisfy a given condition. In the steady state, the fertility is high when the children rearing time is less and the fertility increases when the ability of rearing the children increases. |
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| Keywords: | CKF model Cobb-Douglas utility function steady state children rearing time the bounded of fertility |
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