| 有毒素时两竞争鱼群的最优捕获策略 |
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| 引用本文： | 杨海霞. 有毒素时两竞争鱼群的最优捕获策略[J]. 甘肃联合大学学报(自然科学版), 2011, 25(1): 8-13,19 |
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| 作者姓名： | 杨海霞 |
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| 作者单位： | 甘肃联合大学,师范学院,甘肃,兰州,730000 |
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| 摘 要： | 讨论了两鱼群的竞争系统,每个鱼群都遵守logistic增长规律且向对方释放一种毒素物质.分析了系统的动力性态,研究了毒物对模型稳定性的影响.最后,利用Pantryagin最大值原理讨论了最优收获策略.
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| 关 键 词： | 竞争 毒素 稳定性 最大值原理 最优收获策略 |
The Optimal Harvesting Policy of Two Competing Fishing Species in the Presence of Toxicity |
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| YANG Hai-xia. The Optimal Harvesting Policy of Two Competing Fishing Species in the Presence of Toxicity[J]. Journal of Gansu Lianhe University :Natural Sciences, 2011, 25(1): 8-13,19 |
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| Authors: | YANG Hai-xia |
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| Affiliation: | YANG Hai-xia(Normal College,Gansu Lianhe University,Lanzhou 730000,China) |
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| Abstract: | A two competing fish species system was discussed,each of which obeys the law of logistic growth and release a toxic substance to the other.The dynamical behavior of the system was analyzed.Some effect of toxic substance to influence dynamic stability of the model system were studied.Finally,the optimal harvesting policy using the Pantryagin’s Maximum Principle was discussed. |
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| Keywords: | competition toxicology stability pontryagin maximum principal optimal harvest policy |
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