期刊文献+

污染环境中单种群生存分析 被引量:10

The Survival Analysis of Single Population in a Polluted Environment
下载PDF
导出
摘要 本文研究了污染环境中种群的动力学模型,基于已有结果,考虑了内禀增长率为非线性函数的情形.利用微分方程定性理论中的比较定理,对于种群的持续生存与绝灭给出了判别条件. In this paper,we research a model about population in polluted environment, based on the known results,we consider the case that the growth rate is a non-linear function on the concentration of the toxicant in the population.By Compassion Theorem,we give the conditions about the survival and extinction of the population.
出处 《生物数学学报》 CSCD 北大核心 2009年第1期87-92,共6页 Journal of Biomathematics
关键词 持久性 绝灭 种群 污染 比较定理 Persistence Extinction Population Pollution Compassion theorem
  • 相关文献

参考文献16

  • 1Hallam T G,Clark C E,Lassider R R.Effects of toxicant on population:a qualitative approach Ⅰ.Equilibrium environment exposure[J].Ecological Modelling,1983,18(3):291-304.
  • 2Hallam T G,Clark C E,Jordan G G.Effects of toxicants on populations:A qualitative approach.Ⅱ.First order kinetics[J].Journal of Mathematical Biology,1983,18(1):25-37.
  • 3Hallam T G,J T Deluna.Effects of toxicants on populations:A qualitative approach.Ⅲ.Environmental and food chain pathways[J].Journal of Theoretical Biology,1984,109(3):411-429.
  • 4Thomas,D M,Snell T W,Jaffar S M.A control problem in a polluted environment[J].Mathematical Bioscience,1996,133(2):139-163.
  • 5Zhan Li,Zhisheng Shuai,Ke Wang,Persistence and extinction of single population in a polluted environment[J].Electronic Journal of Differential Equation,2004,2004 108):1-5.
  • 6Buonomo B,Diciddo A,Sgura I.A diffusive convective model for the dynamics of population-toxicant interaction:some analytical and numerical results[J].Mathematical Bioscience,1999,157(1):37-64.
  • 7何继伟,王克.污染环境中的Leslie系统[J].系统科学与数学,2006,26(1):31-41. 被引量:2
  • 8何泽荣,马知恩.污染与捕获对Logistic种群的影响[J].生物数学学报,1997,12(3):230-237. 被引量:21
  • 9马知恩,王稳地.毒素对种群生存的影响[J].生物数学,1997,1(1):8-18. 被引量:1
  • 10Dubey 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.

二级参考文献13

  • 1MA Zhien,LUO Zhixue Department of Mathematics,Xi’an Jiaotong University, Xi’an 710049,China)JIN Zhen(Department of Mathematics,North China Institute of Technology,Taiyuan 030051,China)ZHAO Hengbao (Nankai University,Tianjin 300071, China).THE THRESHOLD OF SURVIVAL FOR PREDATOR-PREY VOLTERRA SYSTEM OF THREE SPECIES IN A POLLUTED ENVIRONMENT[J].Systems Science and Mathematical Sciences,1995,8(4):373-382. 被引量:4
  • 2马知恩,种群生态学的数学建模与研究,1996年
  • 3马知恩,Math Biosci,1990年,75页
  • 4马知恩,Bull Math Biol,1989年,51卷,3期,120页
  • 5陈兰荪,数学生态学模型与研究方法,1988年
  • 6尤秉礼,常微分方程补充教程,1981年
  • 7Hallam T G, Clark C E, Lassider R. R.. Effects of toxicants on population, A qualitative approach I. Equilibrium environmental exposure. Ecol. Modelling., 1983, 8: 291-304.
  • 8Hallam T G, Clark C E, Jordan G S. Effects of toxicants on population, A qualitative approach II. First Order Kinetics. J. Math. Biol., 1983, 18: 25-37.
  • 9Hallam T G, Deluua J T. Effects of toxicants on population, A qualitative approach Ⅲ. Environmental and food chain pathways. J. Theor. Biol., 1984, 109: 411-429.
  • 10马知恩 宋保军 HallamTG.The threshold between persistence and extinction of a population in a polluted environment[J].Bull Math.Biol.,1989,51(3):311-323.

共引文献30

同被引文献58

引证文献10

二级引证文献6

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部