Optimal control of boundary habitat hostility for interacting species
Optimal control of boundary habitat hostility for interacting species
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DOI：
10.1002/(sici)1099-1476(19990910)22:13
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发表时间：
1999-09
影响因子：
2.9
通讯作者：
S. Lenhart;M. Liang;V. Protopopescu
中科院分区：
文献类型：
--
作者：
S. Lenhart;M. Liang;V. Protopopescu
考虑一类抛物系统的边界控制问题，该系统描述了两个相互作用种群在有界生境中的演化。控制模型的敌意的边界环境的物种的维护。目标函数代表了生态效益（以两个种群的大小为模型）和维持生态有利的边界环境的经济成本（以边界友好度为模型）之间的平衡。唯一的最优控制的特点是最优性系统的解决方案，其中包括状态系统与伴随系统耦合。版权所有© 1999年约翰威利父子有限公司。
We consider boundary control for a parabolic system describing the evolution of two interacting species in a bounded habitat. The control models the hostility of the boundary environment to the maintenance of the species. The objective functional represents the balance between the ecological benefit (modelled by the size of the two populations) and the economic cost of maintaining an ecologically favorable boundary environment (modelled by the boundary friendliness). The unique optimal control is characterized in terms of the solution of the optimality system, which consists of the state system coupled with an adjoint system. Copyright © 1999 John Wiley & Sons, Ltd.