| CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE－DEPENDENT PARITY PROGRESSION POPULATION SYSTEM |
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| 引用本文： | GUO Baozhu(Department of Applied Mathematics,Beijing Institute of Technolopy,Beijing100080,China). CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE－DEPENDENT PARITY PROGRESSION POPULATION SYSTEM[J]. 系统科学与复杂性, 1994, 0(4) |
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| 作者姓名： | GUO Baozhu(Department of Applied Mathematics Beijing Institute of Technolopy Beijing100080 China) |
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| 作者单位： | Department of Applied Mathematics，Beijing Institute of Technolopy，Beijing100080，China |
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| 基金项目： | aYouthScienceFoundationfromBeijingInstituteofTechnology2．DistributionoftheCriticalBirthOrderRatioControlWerefer，inwhatfollows，parityn，n＝0，1，2，＇＇＇，N，asthewomen＇sbirthorder．Nisthemadamalbirthordereverattainedbyfemalesinaclosedpopulation，N＜r |
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| 摘 要： | ＣＲＩＴＩＣＡＬＢＩＲＴＨＯＲＤＥＲＲＡＴＩＯＣＯＮＴＲＯＬＡＮＤＡＴＴＡＩＮＡＢＬＥＳＥＴＯＦＡＤＩＳＣＲＥＴＥＡＧＥ－ＤＥＰＥＮＤＥＮＴＰＡＲＩＴＹＰＳＯＧＲＥＳＳＩＯＮＰＯＰＵＬＡＴＩＯＮＳＹＳＴＥＭＧＵＯＢａｏｚｈｕ（Ｄｅｐａｒｔｍｅｎｔｏｆ...
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CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM |
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| GUO Baozhu. CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM[J]. Journal of Systems Science and Complexity, 1994, 0(4) |
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| Authors: | GUO Baozhu |
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| Abstract: | A colltrolled age-structured difference equation model of population dynamics based on parity progression is discussed. The distribution of the control strategies which guarantee the population to approach a stable state is obtained, and the attainable set at any time of this system is found. Finally, the maximum principle for an optimal control problem with quadratic index is also obtained. |
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| Keywords: | Population dynamics parity progression model female parity ratio attainable set stability |
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