| 一类3阶段结构自食系统的征税模型 |
| |
| 引用本文： | 曾夏萍,高建国.一类3阶段结构自食系统的征税模型[J].吉林林学院学报,2012(1):32-36. |
| |
| 作者姓名： | 曾夏萍 高建国 |
| |
| 作者单位： | 北方民族大学信息与计算科学学院,宁夏银川750021 |
| |
| 基金项目： | 国家自然科学基金项目（61163017）;北方民族大学自主科研基金研究生创新项目（2011ZYC038）. |
| |
| 摘 要： | 在应用微分方程理论研究具有3个年龄阶段的自食单种群模型的基础上考虑税收，分析了一类具有阶段结构的自食单种群征税模型，讨论了正平衡点的存在性．在适当的假设条件下，采用Routh—Hurwitz判别法证明了系统正平衡点是局部渐近稳定的，以及通过构造Lyapunov函数证明了系统正平衡点是全局渐近稳定的．同时利用Pontrjagin最大值原理给出了最优征税策略，得出了贴现率能够影响捕获种群的利润水平．
|
| 关 键 词： | 阶段结构 自食 渐近稳定 最优税收 |
A Three-stage Structured Model with Cannibalism and Taxation |
| |
| Authors: | ZENG Xia-ping GAO Jian-guo |
| |
| Institution: | ( Information and Computer Science Institute, Northern National University, Yinchuan 750021, China) |
| |
| Abstract: | A three-stage structure population model with cannibalism and taxation was studied by using the theory of differential equation. The existence of positive equilibrium of the system was discussed. Under appropriate assumption,locally asymptotic stability of the system positive equilibrium was proved by applying Routh-Hurwitz criterion, and the globally asymptotic stability of the positive equilibrium was proved by constructing a Lyapunov function. An optimal taxation policy is obtained by using Pontrjagin maximal principle, and the discount rate can affect the profit. |
| |
| Keywords: | stage structure cannibalism asymptotically stability optimal taxation |
| 本文献已被 维普 等数据库收录！ |
