具有避难所和修正Leslie-Gower项的捕食者-食饵模型的最优税收

Optimal taxation of predator-prey model with a prey refuge and modified Leslie-Gower term

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.