| 基于比率功能性反应的捕食系统的征税模型 |
| |
| 引用本文： | 贾春莹,高建国.基于比率功能性反应的捕食系统的征税模型[J].北华大学学报(自然科学版),2010,11(3):202-205. |
| |
| 作者姓名： | 贾春莹 高建国 |
| |
| 作者单位： | 北方民族大学,信息与计算机科学学院,宁夏,银川,750021;北方民族大学,信息与计算机科学学院,宁夏,银川,750021 |
| |
| 摘 要： | 探讨了一类基于比率依赖功能性反应的捕食者-食饵征税模型,讨论了该系统生物经济平衡点的性态,正平衡点的局部渐近稳定性和全局渐近稳定性条件,并利用Pontrjagin最大值原理得到了最优税收策略,为资源管理者制定合理的资源管理政策提供理论依据.
|
| 关 键 词： | 基于比率 全局渐近稳定 最优税收 |
Model of a Prey-predator System with Ration-Dependent Functional Response and Taxation |
| |
| JIA Chun-ying,GAO Jian-guo.Model of a Prey-predator System with Ration-Dependent Functional Response and Taxation[J].Journal of Beihua University(Natural Science),2010,11(3):202-205. |
| |
| Authors: | JIA Chun-ying GAO Jian-guo |
| |
| Institution: | JIA Chun-ying,GAO Jian-guo(College of Information and Computation Science,The North University for Nationalities,Yinchuan 750021,China) |
| |
| Abstract: | We consider a prey-predator model with ration-dependent functional response and taxation.The existence of equilibrium of the system is discussed.The local and global asymptotic stability analysis are investigated.An optimal taxation policy is obtained by Pontryagin's maximum principle. |
| |
| Keywords: | ration-dependence global asymptotic stability optimal taxation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
