CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM

GUO Baozhu

系统科学与复杂性(英文) ›› 1994, Vol. 7 ›› Issue (4) : 302-311.

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系统科学与复杂性(英文) ›› 1994, Vol. 7 ›› Issue (4) : 302-311.
论文

CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM

    GUO Baozhu
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CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM

    GUO Baozhu
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摘要

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.

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.

关键词

Population dynamics / parity progression m

Key words

Population dynamics / parity progression model / female parity ratio / attainable set / stability

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GUO Baozhu. CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM. 系统科学与复杂性(英文), 1994, 7(4): 302-311
GUO Baozhu. CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM. Journal of Systems Science and Complexity, 1994, 7(4): 302-311
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