| 开环与闭环时变人口系统的稳定性 |
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| 引用本文： | 高夯.开环与闭环时变人口系统的稳定性[J].系统科学与数学,1991,11(2):187-192. |
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| 作者姓名： | 高夯 |
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| 作者单位： | 东北师范大学数学系 长春130021 |
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| 摘 要： | 其中各人口函数 p(r,t),μ(r,t),f(r),(?)(t)以及 r_m 的实际意义与文1]相同.系统(1)—(3)(以下简称为系统(Ⅰ))是一开环时变人口系统,(?)(t)为系统(Ⅰ)的控制变量.本文将给出绝对出生率(?)(t)的时变临界值(?)_c(t),并给出系统(Ⅰ)稳定与渐近稳定的充分条件以及该系统稳定的必要条件.
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STABILITY OF THE OPEN TIME-VARYING POPULATION SYSTEM AND CLOSED TIME-VARYING POPULATION SYSTEM |
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| GAO HANG.STABILITY OF THE OPEN TIME-VARYING POPULATION SYSTEM AND CLOSED TIME-VARYING POPULATION SYSTEM[J].Journal of Systems Science and Mathematical Sciences,1991,11(2):187-192. |
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| Authors: | GAO HANG |
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| Institution: | Department Mathematics,Northeast Normal University,Changchun 130021 |
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| Abstract: | In this paper,the stability of the open time-varying population system and closed time-varying population are discussed,and the sufficient condition for these systems to be stable andasymptotically stable and the necessary condition for the open time-varying population systemto be stable are obtained.These results can be used for making population policies and popula-tion plans. |
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