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| 基于种群保护的最优税收策略 | |
| 引用本文： | 孙军芳,苟晓侃,张睿,孙志强. 基于种群保护的最优税收策略[J]. 山东理工大学学报：自然科学版, 2007, 21(5): 57-59 |
| 作者姓名： | 孙军芳 苟晓侃 张睿 孙志强 |
| 作者单位： | 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070;华北电力大学,电气与电子工程学院,河北,保定,071003 |
| 摘 要： | 在两种群相互作用的Logistic模型的基础上,将税收考虑进去分析了一类食饵-捕食收获模型.讨论了正平衡点的存在性,利用Hurwitz判别法证明了正平衡点的局部渐近稳定性,利用Pontryagin最大值原则得到了最优税收策略,目的在于既保护生态系统又能使社会经济收益最大. |
| 关 键 词： | 食饵-捕食 平衡点 渐近稳定 最优税收 |
| 文章编号： | 1672-6197（2007）05-0057-03 |
| 修稿时间： | 2007-04-27 |
Optimal tax policy to conserve population |
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| SUN Jun-fang,GOU Xiao-kan,ZHANG Rui,SUN Zhi-qiang. Optimal tax policy to conserve population[J]. Journal of Shandong University of Technology:Science and Technology, 2007, 21(5): 57-59 | |
| Authors: | SUN Jun-fang GOU Xiao-kan ZHANG Rui SUN Zhi-qiang |
| Affiliation: | 1. School of Mathematics Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China; 2. School of Electrical and Electronic Engineering, North China Electric Power University, Baoding 071003, China |
| Abstract: | A prey-predator system based on Logistic model with selective harvesting and taxation was considered.The existence of equilibrium of the system was discussed.The local stability analysis has been carried out using Hurwitz criteria.An optimal tax policy was given using Pontryagin's maximum principle.The objective is to maximize the monetary social benefit as well as conservation of the ecosystem. |
| Keywords: | prey-predator equilibrium asymptotically stability optimaltax |
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