| 污染环境中的Smith系统生存分析 |
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| 引用本文： | 何继伟,王克.污染环境中的Smith系统生存分析[J].生物数学学报,2006,21(1):9-17. |
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| 作者姓名： | 何继伟 王克 |
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| 作者单位： | 1. 华北电力大学,应用数学系,河北,保定,071003
2. 哈尔滨工业大学(威海),山东,威海,264209 |
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| 基金项目： | Project supported by the National Natural Science Foundation of P.R.China (No.10171010)
the Key Project on Science and Technology of the Education Ministry of People's Republic of China (No. Key 01061) |
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| 摘 要： | 研究了环境污染对Smith系统中种群生存的长期影响,考虑到种群数量的变化对种群个体体内毒素浓度和环境中毒素浓度的影响,对传统的Smith系统进行了修正,并且给出了一些种群弱平均持续生存和绝灭的充分条件．在一定条件下得到了弱平均持续生存与绝灭的阈值．
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| 关 键 词： | Smith系统 环境污染 持续生存 绝灭 |
| 文章编号： | 1001-9626（2006）01-0009-09 |
| 收稿时间： | 2004-03-10 |
| 修稿时间： | 2004-03-10 |
The Survival Analysis for Smith's System in a Polluted Environment |
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| HE Ji-wei,WANG Ke.The Survival Analysis for Smith''''s System in a Polluted Environment[J].Journal of Biomathematics,2006,21(1):9-17. |
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| Authors: | HE Ji-wei WANG Ke |
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| Institution: | 1 Department of Applied Mathematics, North China Electric Power University, Baoding Hebei 071003 China;2 Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai Shandong 264209 China |
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| Abstract: | This paper concentrates on the study of the long-time behavior of population in a Smith's system, located in a polluted environment. Considering the effect of the variance of the population on the internal and environmental toxicant concentration, we modify the traditional Smith's system, and give some sufficient criteria under which the population will be weakly persistent in the mean or go to extinction. The threshold between weak persistence in the mean and extinction can be established in some case. |
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| Keywords: | Smith's system Environmental pollution Persistence Extinction |
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