| 食饵种群受毒素影响的三种群模型的最优收获问题 |
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| 引用本文： | 丰燕,雒志学. 食饵种群受毒素影响的三种群模型的最优收获问题[J]. 数学的实践与认识, 2012, 42(9): 122-129 |
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| 作者姓名： | 丰燕 雒志学 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃兰州,730070 |
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| 基金项目： | 国家自然科学基金，甘肃省自然科学基金 |
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| 摘 要： | 讨论了在毒素存在的情况下收获食饵的食饵—捕食模型的平衡点稳定性,生物经济平衡点的存在性和最优收获问题,利用Pontryagin极大值原理确定了最优收获策略.
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| 关 键 词： | 三种群 毒素 生物经济平衡点 最优收获 |
The Optimal Harvesting of Three-Species Model with Toxicity of Prey Population |
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| FENG Yan , LUO Zhi-xue. The Optimal Harvesting of Three-Species Model with Toxicity of Prey Population[J]. Mathematics in Practice and Theory, 2012, 42(9): 122-129 |
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| Authors: | FENG Yan LUO Zhi-xue |
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| Affiliation: | (Department of Mathematics and Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China) |
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| Abstract: | We have discussed the stability of the equilibrium in prey-predator model with toxicity and harvesting rate of prey,the existence and optimal harvesting problem of the bionomic equilibrium,the optimal harvesting policy is obtained by using Pontryagin’s maximal principal. |
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| Keywords: | three-species toxicity bionomic equilibrium optimal harvesting |
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