| 扩散对污染斑块上Smith种群生存的影响 |
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| 引用本文： | 杨卓琴,陆启韶,杨在中. 扩散对污染斑块上Smith种群生存的影响[J]. 生物数学学报, 2003, 18(4): 427-432 |
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| 作者姓名： | 杨卓琴 陆启韶 杨在中 |
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| 作者单位： | 1. 北京航空航天大学,理学院,北京,100083
2. 内蒙古大学,数学系,内蒙古,呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金(19872010)，教育部高校博士学科点基金(98000619) |
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| 摘 要： | 通过建立两斑块的单种群扩散系统，主要研究扩散对其中受污染的斑块上种群生存的影响．文中所考虑的是污染斑块上外界毒素的输入量存在极限值的情形，得到如下结论：无扩散时，若此极限值超过某一定值，则污染斑块上的种群趋于灭绝；扩散存在且两斑块上种群的扩散系数满足一定的条件时，则可使该系统的种群永久生存或灭绝．
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| 关 键 词： | 斑块环境 污染 扩散系统 永久生存 种群 |
| 文章编号： | 1001-9626(2003)04-0427-06 |
| 修稿时间： | 2001-01-08 |
The Effect of Diffusion on the Permanence of Smith Population in the Polluted Patch |
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| YANG Zhuo-qin LU Qi-shao YANG Zai-zhong. The Effect of Diffusion on the Permanence of Smith Population in the Polluted Patch[J]. Journal of Biomathematics, 2003, 18(4): 427-432 |
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| Authors: | YANG Zhuo-qin LU Qi-shao YANG Zai-zhong |
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| Abstract: | The effect of diffusion on the permanence of the population in a polluted patch is studied by setting up a single population diffusive system in two patches. The analysis focuses on the case that the toxicant input in the polluted patch has a limit value. It is shown that we draw the following conclusion: when there is no diffusion and the limit value exceeds a certain value, the population in the polluted patch goes extinction. However, when the diffusion exists and the diffusive coefficients of the population between the two patches satisfy some conditions, the population of the system goes either permanence or extinction. |
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| Keywords: | Patch environment Pollution Diffusion system Permanence |
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