| 毒素作用下两种群竞争系统的捕获分析 |
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| 引用本文： | 张 娜,吴 亭.毒素作用下两种群竞争系统的捕获分析[J].福州大学学报(自然科学版),2010,38(5):649-652. |
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| 作者姓名： | 张 娜 吴 亭 |
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| 作者单位： | 福州大学数学与计算机科学学院, 福建 福州 350108;闽江学院数学系, 福建 福州 350108 |
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| 摘 要： | 提出并研究一类对两种群均有捕获的具有毒素作用的竞争系统.通过数学分析的方法研究了捕获对竞争系统的两个种群的影响,得到了保证系统的两种群持久和绝灭的充分性条件.其后,进一步考虑捕获对经济效益的影响,得到了保证系统获得最佳经济利润时的捕捞努力量.
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| 关 键 词： | 捕获 毒素 竞争系统 经济效益 |
On a two-species competition system with toxic substance and harvesting |
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| ZHANG Na and WU Ting.On a two-species competition system with toxic substance and harvesting[J].Journal of Fuzhou University(Natural Science Edition),2010,38(5):649-652. |
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| Authors: | ZHANG Na and WU Ting |
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| Institution: | College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China;Department of Mathematics, Minjiang University, Fuzhou, Fujian 350108, China |
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| Abstract: | A two-species competition system with toxic substance and harvesting is proposed and studied. By using the mathematical analysis method, the effect of havesting on two species is investigated, sufficient conditions which ensure the permanence or extinction of the species are obtained. After that, the effect of harvesting to economic profit is considered, and the capture efforts of two species are investigated in order to obtain the maximum economic profit. |
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| Keywords: | harvesting toxic substance competition system economic profit |
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