| 随机时污染源影响的单种群微生物的灭绝分析 |
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| 引用本文： | 白晓东,宋立新,黄玉洁. 随机时污染源影响的单种群微生物的灭绝分析[J]. 生物数学学报, 2010, 0(3): 475-483 |
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| 作者姓名： | 白晓东 宋立新 黄玉洁 |
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| 作者单位： | [1]大连理工大学数学科学学院,辽宁大连116024 [2]包头师范学院数学系,内蒙古包头014030 [3]鞍山师范学院数学系,辽宁鞍山114001 |
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| 基金项目： | 内蒙古高教厅科学研究项目（编号：NJZY07119） |
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| 摘 要： | 建立了污染物排放对微生物种群生灭影响的模型,研究了随机时刻灭绝概率Ψ(x,T)的一致渐近性,并最终得到一致渐近公式Ψ(x,T)～Eλ(T)(?).
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| 关 键 词： | 一致渐近性 灭绝概率 更新点过程 剩余数过程 |
The Death Analysis of Single Population Microbiology Influenced by a Randomly Polluted Source |
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| BAI Xiao-dong,SONG Li-xing,HUANG Yu-jie. The Death Analysis of Single Population Microbiology Influenced by a Randomly Polluted Source[J]. Journal of Biomathematics, 2010, 0(3): 475-483 |
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| Authors: | BAI Xiao-dong SONG Li-xing HUANG Yu-jie |
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| Affiliation: | 1 School of Mathematical Science,Dalian University of Technology,DaLian Liaoning 116024 China) (2 Department of Mathematics,BaoTou Normal college,BaoTou Neimenggu 014030 China) (3 Department of Mathematics,AnShan Normal college,AnShan Liaoning 114001 China) |
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| Abstract: | The present paper builds a model about the birth and death of microbiology population that suffered from pollutant,and investigates the uniformly asymptotic behavior of random time death probability.At last,under some mild assumptions,we obtained a simple asymptotic relation for random time death probability,that isψ（x,T）～Eλ（T）F. |
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| Keywords: | Uniformly asymptotic behavior Death probability Renewal point process Surplus process |
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