一类种群系统的适定性及最优收获问题

赵春;王绵森;赵平

系统科学与数学 ›› 2005, Vol. 25 ›› Issue (1) : 1-012.

PDF(289 KB)
PDF(289 KB)
系统科学与数学 ›› 2005, Vol. 25 ›› Issue (1) : 1-012. DOI: 10.12341/jssms10369
论文

一类种群系统的适定性及最优收获问题

    赵春(1),王绵森(1),赵平(2)
作者信息 +

THE WELL POSEDNESS AND THE OPTIMAL HARVESTING PROBLEM FOR A CLASS OF POPULATION DYNAMICS

    Chun ZHAO(1),Mian Sen WANG(1),Ping ZHAO(2)
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摘要

文研究了一类非线性时变种群扩散系统的适定性及最优收获问题. 利用压缩 不动点原理讨论了 该种群系统的解的存在唯一性. 证明了最优收获控制的存在性, 并 且获得了最优控制的唯一性和所满足的必要条件.

Abstract

In this paper, we investigate the well posedness and the optimal harvesting problem for a class of nonlinear time-dependent population system with diffusion. Both existence and uniqueness of a positive solution are proven using the fixed point theorem. Existence of the optimal harvesting rate control is given, and the necessary condition for optimality and the uniqueness of the optimal control is obtained.

关键词

最优收获 / 种群系统 / 适定性 / 极值原理

Key words

Optimal harvesting / population dynamics / well-posedness / the maximum principle.

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赵春 , 王绵森 , 赵平. 一类种群系统的适定性及最优收获问题. 系统科学与数学, 2005, 25(1): 1-012. https://doi.org/10.12341/jssms10369
Chun ZHAO , Mian Sen WANG , Ping ZHAO. THE WELL POSEDNESS AND THE OPTIMAL HARVESTING PROBLEM FOR A CLASS OF POPULATION DYNAMICS. Journal of Systems Science and Mathematical Sciences, 2005, 25(1): 1-012 https://doi.org/10.12341/jssms10369
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