| 脉冲输入环境毒素的单种群动力学模型研究 |
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| 引用本文： | 鲍磊,班晓倩. 脉冲输入环境毒素的单种群动力学模型研究[J]. 江西师范大学学报(自然科学版), 2012, 0(5): 502-505 |
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| 作者姓名： | 鲍磊 班晓倩 |
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| 作者单位： | 贵州财经大学数学与统计学院, 贵州 贵阳 550004 |
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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(2010027);贵州省科学技术基金(2010J2130)资助项目 |
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| 摘 要： | 利用已有的结果研究了脉冲输入环境毒素的单种群动力学模型,考虑毒素的侵扰,将内禀增长率改变为与生物体内毒素相关的非线性函数形式,得到了边界周期解的全局吸引和系统永久生存的判别条件.
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| 关 键 词： | 单种群动力学模型 脉冲输入环境毒素 全局吸引 永久生存 |
The Study on Single Population Model with Pulse Input of Environmental Toxin |
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| BAO Lei,BAN Xiao-qian. The Study on Single Population Model with Pulse Input of Environmental Toxin[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2012, 0(5): 502-505 |
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| Authors: | BAO Lei BAN Xiao-qian |
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| Affiliation: | (School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang Guizhou 550004,China) |
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| Abstract: | Based on the known results, a single population model in a polluted environment with pulse toxicant input at fixed moment is studied. Considering the harassment of toxin, the intrinsic rate of growth is changed into non-linear functional style related to the concentration of the toxin in the organisms. The threshold condition for the attractivity of the population-extinction boundary period solution and the permanence of the system are obtained. |
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| Keywords: | single population model pulse input of environmental toxin global attractivity permanence |
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