Dynamics of Inshore-Offshore Fishery Model Concerning Optimal Harvesting Policy in a Polluted Environment | |
其他题名 | Dynamics of Inshore-Offshore Fishery Model Concerning Optimal Harvesting Policy in a Polluted Environment |
Kang Baolin1; Liu Bing2; Ma Yi3 | |
2010 | |
发表期刊 | Journal of Biomathematics
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ISSN | 1001-9626 |
卷号 | 25期号:4页码:583-592 |
摘要 | 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 |
其他摘要 | 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 |
关键词 | 污染 脉冲扩散 近海.远海渔业模型 全局渐近稳定性 周期解 最优捕获策略 |
收录类别 | CSCD |
语种 | 英语 |
CSCD记录号 | CSCD:4131850 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.imr.ac.cn/handle/321006/151584 |
专题 | 中国科学院金属研究所 |
作者单位 | 1.辽宁师范大学 2.Department of Mathematics, Anshan Normal University 3.中国科学院金属研究所 |
推荐引用方式 GB/T 7714 | Kang Baolin,Liu Bing,Ma Yi. Dynamics of Inshore-Offshore Fishery Model Concerning Optimal Harvesting Policy in a Polluted Environment[J]. Journal of Biomathematics,2010,25(4):583-592. |
APA | Kang Baolin,Liu Bing,&Ma Yi.(2010).Dynamics of Inshore-Offshore Fishery Model Concerning Optimal Harvesting Policy in a Polluted Environment.Journal of Biomathematics,25(4),583-592. |
MLA | Kang Baolin,et al."Dynamics of Inshore-Offshore Fishery Model Concerning Optimal Harvesting Policy in a Polluted Environment".Journal of Biomathematics 25.4(2010):583-592. |
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