中文摘要：

运用微分方程理论,研究了一类非线性的红松种群征税模型,得到了该系统的平衡点,证明了该系统正平衡点的局部渐进稳定性和正平衡点的全局吸引域,利用Pontryagin 最大值原理给出了最优征税策略.

英文摘要：

This paper studies a class of nonlinear taxation model of pine nut, squirrel and saplings by means of the theory of differential equations. The existence of the positive equilibrium of the system is discussed through the research. Locally asymptotic stability of the system’s positive equilibrium is proved and the attractive domain of the positive equilibrium is obtained. The problem of optimal taxation strategy is settled by taking the advantage of Pontryagin’s maximal principle.