动态价格下Logistic生长模型的捕获问题  

Harvesting in Logistic System with Dynamic Price

作　　者：张广[1] 张敏 宋冰洁 ZHANG Guang;ZHANG Min;SONG Bingjie(School of science , Tianjin University of Commerce , Tianjin 300134 , China;School of economics , Tianjin University of Commerce,Tianjin 300134 , China)

机构地区：[1]天津商业大学理学院,天津300134 [2]天津商业大学经济学院,天津300134

出　　处：《经济数学》2018年第4期39-44,共6页Journal of Quantitative Economics

基　　金：国家自然科学基金资助项目(11371277)

摘　　要：基于市场价格受供给和需求影响,建立一种新型的动态价格下的捕获模型,并对此模型进行了动力学分析.在经济意义下,如果捕获相同数量的生物种群,那么在均衡价格下的捕获努力量会低于常数价格下的捕获努力量,这将为如何降低捕捞成本提供有价值的理论借鉴.We established a new harvesting model with dynamic price under the condition that market price was influ-enced by supply and demand and the dynamics of this model was analyzed.In the economic sense,harvesting effort under e-quilibrium price will be less than that under constant price if fishing the same number of population,it will provide a valuable theoretical guidance in how to reduce the cost of fishing.

关 键 词：动态价格 捕获问题 渐近稳定 

分 类 号：O29[理学—应用数学]