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具非瞬时脉冲收获单种群动力学模型的控制阈值研究
引用本文:焦建军,李利梅,刘兰兰,聂星屹. 具非瞬时脉冲收获单种群动力学模型的控制阈值研究[J]. 信阳师范学院学报(自然科学版), 2018, 0(2): 179-181
作者姓名:焦建军  李利梅  刘兰兰  聂星屹
作者单位:贵州财经大学数学与统计学院;贵州财经大学继续教育学院
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.

关 键 词:非瞬时脉冲收获  单种群  控制阈值  灭绝  持久

Threshold Dynamics of a Single Population Model with Non-transient Impulsive Harvesting
Affiliation:,School of Mathematics and Statistics,Guizhou University of Finance and Economics,School of Continuing Education,Guizhou University of Finance and Economics
Abstract:A single population model with non-transient impulsive harvesting was conducted. By the discrete dynamical system determined by the stroboscopic map,the controlling thresholds of the permanence 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.
Keywords:non-transient impulsive harvesting  single population  controlling threshold  extinction  permanence
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