价格随供求变化经济捕获模型的定性分析  

Qualitative Analysis of an Economic Harvesting Model of Price Changed with Demand and Supply

作　　者：刚毅[1] 雒志学[1] 

机构地区：[1]兰州交通大学数理学院数学系,甘肃兰州730070

出　　处：《河南科技大学学报（自然科学版）》2007年第2期102-104,共3页Journal of Henan University of Science And Technology:Natural Science

基　　金：兰州交通大学‘青蓝’人才工程基金计划(QL-05-18A)

摘　　要：对单种群资源建立了一般生产函数下价格随供求变化的经济捕获模型,利用常微分方程稳定性和定性理论对该模型进行了定性分析,证明了系统极限环的不存在性,讨论了系统正平衡点的存在唯一性及其全局稳定性,并从生物经济学角度对主要结果作了解释,为生物资源的实际管理提供了理论依据。An economic harvesting model of price changed with demand and supply for single-species is established.By using the stability and qualitative theory of the ordinary differential equation,the non-existence of limit cycles is proved.The system’s dynamical behavior,the existence of the uniqueness and the global stability of the positive equilibrium are discussed,which provides theoretical basis for fishery management.Finally,the biological and economic significances of main results are discussed.

关 键 词：价格成本 经济捕获 稳定性 

分 类 号：F726.1[经济管理—产业经济] O175[理学—数学]