具周期系数的单种群模型及其最优捕获策略

摘要/Abstract

摘要：

该文用一种新的方法, 讨论了单种群生物资源的捕获优化问题. 以最大的可持续单位时间捕获量为管理目标, 得到一类非自治单种群捕获模型的最优捕获策略, 所得结果包括了文献中研究过的几乎所有单种群捕获模型的相应研究结果.

关键词: 具有周期系数的单种群捕获模型, 周期解, 最优捕获努力量, 生产函数

Abstract:

In this paper, using a new method, the authors discuss the opti mal harvesting problems of nonautonomous single population biological resource. The authors choose the maximum annual sustainable yield as the management obj ective and investigate the optimal harvesting policies for a class of nonautonomous single population models. The results include almost all nonautonomous single popul atiom models researched in literature.

Key words: Single population model with periodic coefficient s, Periodic solution, Optimal harvesting effort, Production function

中图分类号:

32C27

鲁红英, 王克. 具周期系数的单种群模型及其最优捕获策略[J]. 数学物理学报, 2005, 25(6): 926-932.

LU Hong-Ying, WANG Ke. Nonautonomous Single Population |Models with Periodoc Coeffici ents and Their Optimal Harvesting Policies[J]. Acta mathematica scientia,Series A, 2005, 25(6): 926-932.

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