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| 一个增加渔业产量的最优策略 | |
| 引用本文： | 石瑞青,魏春金,黄刘权.一个增加渔业产量的最优策略[J].生物数学学报,2008,23(3):399-406. |
| 作者姓名： | 石瑞青 魏春金 黄刘权 |
| 作者单位： | 1. 大连理工大学,应用数学系,大连,辽宁,116024;山西师范大学,数学与计算机科学学院,临汾,山西,041004 2. 大连理工大学,应用数学系,大连,辽宁,116024;集美大学,理学院,福建,厦门,361021 3. 福建师范大学,闽南科技学院,泉州,福建,362332 |
| 摘 要： | 本文研究了Logistic模型在渔业收获中的应用．我们脉冲的在湖泊中增加鱼的食物（水草），以此来增大湖泊的环境容纳量．因此，经过一段时间后，鱼的数量可以达到一个很高的水平．我们从生态和经济学的角度出发，找到了最优策略，通过例子（表1一表10）给出了具体的策略．在最后一个例子（表11）中，我们比较了参数A和T对模型的不同影响．最后，我们指出了本文的数学和数值模拟结果在生态学和经济学中的应用，并且作了简短的讨论． |
| 关 键 词： | LOGISTIC模型 脉冲 环境容纳量 最优策略 |
An Optimal Strategy for Increasing Fish Production |
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| SHI Rui-qing,WEI Chun-jin,HUANG Liu-quan.An Optimal Strategy for Increasing Fish Production[J].Journal of Biomathematics,2008,23(3):399-406. | |
| Authors: | SHI Rui-qing WEI Chun-jin HUANG Liu-quan |
| Institution: | SHI Rui-qing, WEI Chun-jin, HUANG Liu-quan (1 Department of Applied Mathematics, Dalian Universit, y of Tethnology Dalian Liaoning 116024 China;(2 School of Mathematics and Computer Science, Shanxi Normal university Lin fen Shancci 041004 China) (3 School of Sciences, Jimei University, X iamen Fujian 361021 China) (4 Science and Technology Institute, Fujian Normal University Quanzhoa Fujian 362332 China) |
| Abstract: | In the paper,a Logistic model is studied for its application in fish harvesting.We impulsively put additional food(aquatic)into the lake to enlarge the carrying capacity.Thus,after a period of time,the amount of fish can reach a high level.We get the optimal strategy from the view point of ecology and economics.Our examples(Table 1-Table 10)give the detailed strategies.And the last examples(Table 11)compare the effects of different A and T.In the last,we interpret our mathematical and simulated results for ecological and economical application,and a brief discussion is presented. |
| Keywords: | Logistic model Impulsive Carrying capacity Optimal strategy |
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