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

CRITICAL BIRTH ORDER RATIO CONTROL AND ATTAINABLE SET OF A DISCRETE AGE-DEPENDENT PARITY PSOGRESSION POPULATION SYSTEM
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摘要 CRITICALBIRTHORDERRATIOCONTROLANDATTAINABLESETOFADISCRETEAGE-DEPENDENTPARITYPSOGRESSIONPOPULATIONSYSTEMGUOBaozhu(Departmentof... 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.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1994年第4期302-311,共10页
基金 aYouthScienceFoundationfromBeijingInstituteofTechnology2.DistributionoftheCriticalBirthOrderRatioControlWerefer,inwhatfollows,parityn,n=0,1,2,''',N,asthewomen'sbirthorder.Nisthemadamalbirthordereverattainedbyfemalesinaclosedpopulation,N<r
关键词 POPULATION dynamics PARITY PROGRESSION model female PARITY RATIO attainable SET stability Population dynamics,parity progression model, female parity ratio, attainable set,stability
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