局部区域保护下生物资源的最优脉冲收获策略  

Optimal impulsive harvesting strategy on biological resources under local regional protection

作　　者：黄灿云[1] 李雨佳[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2014年第5期140-144,共5页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(1107RJZA164)

摘　　要：建立局部区域保护下的生物资源的脉冲收获模型,利用脉冲比较定理得到系统持续发展的条件.运用极值原理给出最优收获策略和最优收获量的估值范围.结论表明最优脉冲收获不仅可以使生物资源持续生存下去,而且可以得到相对高的经济效益.An impulsive harvest model is established for biological resources under local regional protection.By using impulsive comparison theorem,the conditions for system permanent development are obtained.Using maximum principle,the optimal harvesting strategy and the estimate range of optimal harvesting quantity is given.The results show that optimal impulse harvesting can make not only the biological resources permanently subsistent but also the economic profit relatively high.

关 键 词：脉冲收获 持续生存 比较定理 收获策略 

分 类 号：O175.29[理学—数学]