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高校应用数学学报
高校应用数学学报  2020, Vol. 35 Issue (2): 191-198    
    
一类非线性年龄等级结构种群系统模型的可控性
何泽荣, 周 楠, 韩梦杰
杭州电子科技大学 运筹与控制研究所, 浙江杭州 310018
Controllability of a hierarchical age-structured population system model
HE Ze-rong, ZHOU Nan, HAN Meng-jie
Institute of Operational Research and Cybernetics, Hangzhou Dianzi University,Hangzhou 310018
 全文: PDF(213 KB)  
摘要： 研究一类基于年龄等级差异的种群系统的近似可控性问题, 状态方程由非线
性偏微分-积分方程描述, 且边界条件具有全局反馈特征. 运用冻结系数法、线性系统
可控性和集值映射不动点原理确立了系统可控性, 表明了种群状态可通过个体迁移调节.
关键词： 年龄等级;  种群模型;  偏微分-积分方程;  近似可控性;  Kakutani不动点    
Abstract: The controllability of a class of hierarchical age-structured population system is studied, in which the state equation is described by a nonlinear partial integro-differential equation with
a boundary condition of global feedback. The approximate controllability of the system is established
by means of frozen coefficients, a result for linear system and the Kakutani fixed point theorem of
multi-valued mappings. The conclusion shows that the population state can be adjusted by individuals
migration process.
Key words: hierarchy of ages    population model    partial integro-differential equations    approximate controllability    Kakutani’s fixed point theorem
出版日期: 2020-07-07
CLC:  O231.2  
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何泽荣
周 楠
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引用本文:

何泽荣, 周 楠, 韩梦杰. 一类非线性年龄等级结构种群系统模型的可控性[J]. 高校应用数学学报, 2020, 35(2): 191-198.

HE Ze-rong, ZHOU Nan, HAN Meng-jie. Controllability of a hierarchical age-structured population system model. Applied Mathematics A Journal of Chinese Universities, 2020, 35(2): 191-198.

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http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2020/V35/I2/191

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