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环境污染中三维Volterra系统持续生存与绝灭的阈值 被引量:5

THE THRESHOLDS OF PERSISTENCE AND EXTINCTION FOR SYSTEM OF THREE SPECIES VOLTERRA IN A POLLUTED ENVIRONMENT
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摘要 本文对环境容量很大且被污染的三种群系统进行了研究,得到了三维Volterra捕食-被捕食系统持续生存与绝灭的阈值. This paper studies a three-dimensional volterra system in a large capacitypolluted environment. We give the thresholds between survival and extinction of everypopulations of a three-dimensional Lotke--Volterra prey-predator system.
作者 靳祯 马知恩
出处 《系统科学与数学》 CSCD 北大核心 1998年第3期366-370,共5页 Journal of Systems Science and Mathematical Sciences
关键词 持续生存 环境污染 绝灭 阈值 Volterra系统 Weak persistence, extinction, polluted environment.
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参考文献4

  • 1马知恩,种群生态学的数学建模与研究,1995年
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  • 4马知恩,The thresholds of survival for a n-dimensional food chain model in a polluted environment

同被引文献24

  • 1王克.捕食者──食饵系统持久的充要条件及其分枝[J].生物数学学报,1995,10(2):49-53. 被引量:11
  • 2冯由玲,王克,孙静懿.具污染与捕获的Logistic单种群的持续生存及绝灭[J].生物数学学报,2006,21(3):365-369. 被引量:10
  • 3马知恩.种群生态学的数学建模与研究[M].合肥:安徽教育出版社,1995..
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  • 6Hallam T G,Deluna J T.Effects of toxicants on populations.A qualitative approach Ⅲ Environmental and food chain pathways.J.Theor.Biol.,1984,109:411~429.
  • 7Hallam T G.,Zhien Ma.Persistence in population models with demographic fluctuations.J.Math.Biol.,1986,24:327 ~339.
  • 8刘华平 马知恩.The threshold of survival for systems of two species in polluted environment[J].J.Math.Biol.,1991,30:49-61.
  • 9Bruno Buonomo,Andrea Di Liddo,Ivonne Sgura.A diffusive-convective model for the dynamics of population - toxicant interactions:some analytical and numerical results.Math.Biosci.,1999,157:37~64.
  • 10董雨滋,王拉娣.污染环境中三维竞争系统的生存阈值[J].系统科学与数学,1997,17(3):221-225. 被引量:6

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