Dynamics of Inshore-Offshore Fishery Model Concerning Optimal Harvesting Policy in a Polluted Environment
环境污染下基于最优捕获策略的近海-远海捕鱼模型的动力学性质
查看参考文献12篇
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文摘
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Recently, due to excessive exploitation of marine resources, the ocean resources extremely decline. More and more serious marine pollution (especially inshore marine pollution) brings great difficulty for marine resources management. In order to better manage and utilize the marine resources, in this paper, we consider the effects of impulsive diffusion on the species in a polluted environment and investigate an inshoreoffshore fishery model. The sufficient conditions are obtained for the existence of the positive periodic solution and the global asymptotic stability of both the trivial periodic solution and the positive periodic solution. Moreover, in a polluted environment, the optimal harvesting policy is given for the inshore subpopulation, which includes the maximum sustainable yield and the corresponding harvesting effort. Numerical simulations confirm our theoretical results |
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其他语种文摘
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近年来, 由于人类的过度开发, 使得海洋资源(尤其是近海海洋资源)急剧下降, 加上日益严重的海洋污染, 给海洋资源管理带来很大的困难.为了更好的管理和利用海洋资源, 本文考虑到环境污染中脉冲扩散对种群的影响, 建立了一个近海一远海渔业模型, 给出了正周期解存在性及平凡周期解和正周期解全局渐近稳定性的充分条件.进一步, 在环境污染的情况下, 给出了最优捕获策略, 得到了最大持续产量和相应的捕获努力量.最后, 通过数值模拟证实了我们所得的结论的正确性 |
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来源
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生物数学学报
,2010,25(4):583-592 【核心库】
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关键词
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Pollution
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Impulsive diffusion
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Inshore-offshore fishery model
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Global asymptotic stability
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Periodic solution
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Optimal harvesting policy CLC number: 0175.12
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地址
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1.
Department of Mathematics, Liaoning Normal University, Liaoning, Dalian, 116029
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Department of Mathematics, Anshan Normal University, Liaoning, Anshan, 114007
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College of Science, Shenyang University, Liaoning, Shenyang, 110044
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1001-9626 |
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学科
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数学 |
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基金
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国家自然科学基金
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Excellent Staffs Support Project of Universities and Colleges in Liaoning
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文献收藏号
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CSCD:4131850
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12
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