| 具脉冲收获与脉冲单边扩散的单种群动力学模型研究 |
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| 引用本文： | 周玉梅,张玉娟,焦建军.具脉冲收获与脉冲单边扩散的单种群动力学模型研究[J].生物数学学报,2012(3):494-498. |
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| 作者姓名： | 周玉梅 张玉娟 焦建军 |
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| 作者单位： | [1]贵州财经大学数学与统计学院,贵州贵阳550004 [2]鞍山师范学院数学与信息科学学院,辽宁鞍山114007 |
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| 基金项目： | 国家自然科学基金（10961008）; 贵州省教育厅自然科学研究培育项目（2010027）; 贵州省科学技术基金（2010J2130） |
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| 摘 要： | 建立了一类具脉冲收获与脉冲单边扩散在不同固定脉冲时刻的单种群动力学模型利用离散动力系统频闪映射理论,得到了脉冲收获的阈值.该结论说明只要收获量不超过其阈值通过扩散则种群可以保持持续生存.
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| 关 键 词： | 脉冲收获 单边扩散 单种群模型 |
A Single Population Dynamics Model with Impulsive Harvest and Impulsive Unilateral Diffusion |
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| ZHOU Yu-mei,ZHANG Yu-juan,JIAO Jian-jun.A Single Population Dynamics Model with Impulsive Harvest and Impulsive Unilateral Diffusion[J].Journal of Biomathematics,2012(3):494-498. |
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| Authors: | ZHOU Yu-mei ZHANG Yu-juan JIAO Jian-jun |
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| Institution: | 1 School of mathematics and statistics,Guizhou University of Finance and Economics,Guiyang Guizhou 550004) (2 College of Mathematics and Information Science,Anshan Normal University, Anshan Liaoning 114007 China) |
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| Abstract: | In this paper,we establish a single population dynamics model with impulsive harvesting and impulsive unilateral diffusion at different fixed moments.Using the discrete dynamic system determined by the stroboscopic map theory,we obtained the impulsive harvesting threshold.The conclusion shows if the yield does not exceed the threshold,the population can be survival by diffusion. |
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| Keywords: | Impulsive harvesting Unilateral diffusion Single species mode |
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