具非瞬时脉冲收获单种群动力学模型的控制阈值研究  

Threshold Dynamics of a Single Population Model with Non-transient Impulsive Harvesting

作　　者：焦建军[1] 李利梅[2] 刘兰兰[1] 聂星屹 JIAO Jianjun;LI Limei;LIU Lanlan;NIE Xingyi(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550004,China;School of Continuing Education,Guizhou University of Finance and Economics,Guiyang 550004,China)

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550004 [2]贵州财经大学继续教育学院,贵州贵阳550004

出　　处：《信阳师范学院学报（自然科学版）》2018年第2期179-181,共3页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11761019;11361014);贵州财经大学与商务部国际贸易经济合作研究院联合基金项目(2016SWBZD18)

摘　　要：建立具非瞬时脉冲收获单种群动力学模型,利用离散动力系统频闪映射理论,得到种群灭绝与种群持续生存的控制阈值.结果表明,非瞬时脉冲收获区间对于种群持久起着重要作用,可为现实的生物资源管理与生物多样性保护提供决策依据.A single population model with non-transient impulsive harvesting was conducted.By the discrete dynamical system deter^nined by the stroboscopic map,the controlling thresholds of the per^nanence and extinction of this system"were obtained.The results indicated that the non-transient impulsive harvesting interval plays an important role in the permanence of population,and these also provide some reliable tactic basis for the practical biological resource management.

关 键 词：非瞬时脉冲收获 单种群 控制阈值 灭绝 持久 

分 类 号：O175.2[理学—数学]