一类松籽、松鼠、幼苗的征税模型分析  

Analysis on Taxation Model of Pine Nut,Squirrel and Saplings

作　　者：郑洪艳[1] 罗勇[1] 胡亦郑[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2014年第4期1-1,共1页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金(11001204)

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.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.

关 键 词：数学模型 渐进稳定性 最优税收 

分 类 号：O193[理学—数学]