CAJ | 학술논문

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。
운용미분방정이론，연구료일류비선성적홍송충군정세모형，득도료해계통적평형점，증명료해계통정평형점적국부점진은정성화정평형점적전국흡인역，이용 Pontryagin 최대치원리급출료최우정세책략。
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.