| 冯德兴,朱广田.人口问题中的妇女临界生育率[J].数学研究及应用,1983,3(3):1~6 |
| 人口问题中的妇女临界生育率 |
| Critical Fertility Rate of Women in Population Problem |
| 投稿时间：1981-06-29 |
| DOI：10.3770/j.issn:1000-341X.1983.03.001 |
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| 英文关键词: |
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| 摘要点击次数: 2008 |
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| 中文摘要: |
| 本文通过对连续人口模型半离散化,研究了人口发展过程的稳定性和渐近性质,给出了妇女临界生育率,它与[2]中离散情况下临界生育率公式相一致。证明了当比生育率不超过临界生育率时人口状态渐近稳定,而当超过临界生育率时人口指数发散。 |
| 英文摘要: |
| In this paper the stability and the asymptotic properties of the population evolution process are considered through the semi-discretization of the continuous population model. We have given the formula of the critical fertility rate of women, and we have shown that the population state is asymptetically stable if the ratio fertility rate is not bigger than the critical fertility rate, and otherwise this state exponentially diverges. Finally, we have obtained the explicit expression of the stationary population state with the critical fertility rate. |
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