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污染环境中的Leslie系统 被引量:2

THE LESLIE SYSTEM IN A POLLUTED ENVIRONMENT
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摘要 研究了环境污染对Leslie资源-消费者系统中消费者种群的长期影响.考虑到种群数量的变化对种群体内毒素浓度和环境毒素浓度的影响,建立了一个新的数学模型, 给出了消费者种群弱持续生存和绝灭的判据,并在一定条件下得到了弱持续生存与绝灭的阈值. This paper concentrates on the system, located in a polluted environment. A new study of the long-time behavior of Leslie model is obtained by considering the effect of the variance of the population on the internal and environmental toxicant density. Sufficient criteria on weak persistence and extinction of the consumer population axe obtained. The threshold between weak persistence and extinction can be established in some cases.
作者 何继伟 王克
出处 《系统科学与数学》 CSCD 北大核心 2006年第1期31-41,共11页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金资助项目(10171010) 教育部科学技术研究重点项目(01061).
关键词 Leslie系统 消费者种群 环境污染 弱持续生存 绝灭 Leslie system, consumer population, environmental pollution, weak persistence, extinction.
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参考文献7

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二级参考文献11

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共引文献24

同被引文献21

  • 1靳祯.污染环境中三维Volterra竞争系统持续生存与绝灭的阈值[J].华北工学院学报,1996,17(3):189-195. 被引量:10
  • 2Xiao-jian Li,Ke Wang.The Survival Analysis of a Non-autonomous N-dimensional Volterra Mutualistic System in a Polluted Environment[J].Acta Mathematicae Applicatae Sinica,2007,23(1):133-140. 被引量:1
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  • 9Dubey B,Hussain.Modeling the interaction of two biological species in a polluted environment[J].Journal of Mathematical Analysis and Application,2000,246(6):58-59.
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二级引证文献10

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