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具有Markov转换的Lotka-Volterra系统中市场结构的演进 被引量:2

The Evolution of Market Structures in the Lotka-Volterra System with the Markov Switching
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摘要 避开市场处于均衡态的假设和边际成本等于边际收益的条件,研究了具有Markov转换的LotkaVolterra随机竞争系统下市场结构的变化,指出在各种随机因素的干扰之下,构成系统的各种产品的数目终将随机的分布在各自的均衡点附近,并在一定条件下证明了市场结构的随机最终有界性和渐近性. In this paper,the evolution of stochastic competitive market structure in the Lotka-Volterra system with the Markov switching is investigated without the conditions of the market in equilibrium hypothesis and marginal cost equal to marginal revenue,it is illustrated that the number of a variety of products consisting of system has a random distribution near the respective equilibrium point.In addition,the random eventual boundedness and progressive of market structure are proved under the certain conditions.
作者 付桐林
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第1期86-89,共4页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金(71061012)资助项目
关键词 LOTKA-VOLTERRA模型 阻滞效应 MARKOV链 BROWN运动 Lotka-Voherra model retardant effect martingale Markov chain Brown motion
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