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一类离散捕食系统在半开放资源下的捕获策略
引用本文:王树忠,孙嘉轶,李冬梅. 一类离散捕食系统在半开放资源下的捕获策略[J]. 数学的实践与认识, 2011, 41(9)
作者姓名:王树忠  孙嘉轶  李冬梅
作者单位:哈尔滨理工大学应用科学学院,黑龙江哈尔滨,150080
摘    要:对一类具有捕获的离散捕食系统,给出了正平衡点存在性和稳定性的条件.在半开放资源下考虑了可变价格及可变成本对捕获的影响,利用Gordon理论及政府征税政策,得到了经济均衡点的稳定条件,给出最优捕获策略.

关 键 词:离散捕食系统  Gordon理论  可变价格  可变成本  捕获策略

The Harvest Policy for a Class of Discrete Predator prey System in the Semi-open Resources
WANG Shu-zhong,SUN Jia-yi,LI Dong-mei. The Harvest Policy for a Class of Discrete Predator prey System in the Semi-open Resources[J]. Mathematics in Practice and Theory, 2011, 41(9)
Authors:WANG Shu-zhong  SUN Jia-yi  LI Dong-mei
Abstract:In this paper,the existence of positive equilibrium and stability conditions were given as to a class of discrete predator-prey system with capture.In the semi-open resources,we considered the influence of flexible price and variable cost to capturing efforts. Using Gordon theory and the government tax policy we got the stability conditions with the economic equilibrium point and gave the optimal acquisition strategy.
Keywords:discrete predator-prey system  gordon theory  flexible price  variable cost  harvest policy
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