摘要
研究具有避难所和修正Leslie-Gower项的捕食者-食饵模型的最优税收.运用Routh-Hurwitz判别法,讨论系统平衡点的局部渐近稳定性,并构造合适的Lyapunov函数,得到系统正平衡点是全局渐近稳定的.最后,利用Pontryagin最大值原理,得到最优征税策略.
Optimal taxation of predator - prey model with a prey refuge and modified Leslie - Gower term is considered in this paper. By using of Routh - Hurwitz method, the stability of the equilibrium for the model is discussed, by constructing a suitable Lyapunov function, the globally asymptotical sta- bility of the unique positive equilibrium point for the model is obtained. Moreover, the optimal taxation policy of the model is derived by means of Pontryagin maximum principle.
出处
《福州大学学报(自然科学版)》
CAS
CSCD
北大核心
2013年第2期132-136,共5页
Journal of Fuzhou University(Natural Science Edition)
基金
国家自然科学基金资助项目(11201075)
福建省自然科学基金资助项目(2010J01005)