摘要
本文研究了一类具有毒素的捕食-食饵系统的最优税收,通过计算雅克比矩阵的特征值以及构造适当的Lyapunov函数得出了保证系统平衡点的局部稳定性和正平衡点全局稳定性的充分性条件,并利用Pontryagin最大值原理得到了达到最优税收的最优平衡解.
A predator-prey system incorporating taxation and toxicity is studied in this paper. Some sufficient conditions for the stability of the system are obtained by caculating characteristic value of Jacobian matrix and constructing a suitable Lyapunov function. Moreover, the optimal taxation policy is obtained by using the Pontryagin's maximal principle.
出处
《生物数学学报》
2017年第2期252-260,共9页
Journal of Biomathematics
基金
广西财经学院校级课题(2016C078)
