期刊文献+

具有扩散的n-斑块单种群系统的全局稳定性(英文) 被引量:6

Global Stability of a Population Dispersal in a N-Patches Environment
下载PDF
导出
摘要 研究了具有扩散的n-斑块多种环境下单种群非自治模型,在假定该模型所有系数连续有界的情况下,得到了系统全局稳定的充分条件. A nonautonomous system is studied which models a population dispersal in n-patches of a heterogeneous environment. Under the assumption that all the parameters of the model are continuous and bounded, sufficient conditions are obtained for global stability of the system.
作者 高淑京
出处 《生物数学学报》 CSCD 2000年第1期75-80,共6页 Journal of Biomathematics
基金 This Research is Supported by Guangzhou Education Committee Fundation
关键词 全局稳定 持续生存 扩散 n-斑块单种群系统 Global stability Nonautonomous Permanent Dispersal
  • 相关文献

参考文献2

  • 1Wang Wendi,Dynamic Systems Appoications,1997年,6卷,207页
  • 2Lu Zhengyi,Nonlinear Analysis,1992年,10卷,963页

同被引文献22

  • 1孟新柱,王学蕾.具有周期系数的捕食—竞争扩散系统的持久与全局渐近稳定性[J].潍坊学院学报,2002,2(2):11-16. 被引量:3
  • 2[3]许松庆.常微分方程稳定性理论[M].上海:上海科技出版社,1962:25-49.
  • 3[4]叶谚谦.常微分方程讲义[M].北京:人民教育出版社,1979:35-69.
  • 4[5]CHEN L,LU Z,WANG W.The effect of delays on the permanence for Lotka-Volterra systems[J].Appl Math Lett,1995,10(8):71-73.
  • 5[6]WANG Wen-di,CHEN Lan-sun,LU Zheng-yi.Global stability of a population dispersal in a two-patch environment[J].Dynamic Systems and Appoications,1997,15(6):207-216.
  • 6[7]FREEDMAN H I,TAKEUCHI Y.Global stability and predator dynamics in a model of prey dispersal in patch environment[J].Nonlinear Anal,1989,13(5):993-1002.
  • 7[8]LU Zheng-yi,TAKEUCHI Y.Permanence and global stability for coorperative Lotka-Volterra diffusion systems[J].Nonli Analy,1992,19(10):963-975.
  • 8[9]BERRETA E,TAKEUCHI Y.Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays[J].SIAM J Appl Math,1988,48(3):627-651.
  • 9[10]FREEDMAN H I.Single species migration in two habits,persistence and extinction[J].Math Model,1987,10(8):778-780.
  • 10葛显良,应用泛函分析,1996年

引证文献6

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