期刊文献+

三个年龄结构的单种群动力系统持续性与周期解的稳定性(英文)

Persistence and global stability of periodic solution for three stage structure single species dynamics system
下载PDF
导出
摘要 建立了三个年龄结构的单种群动力系统,在这个系统中,种群可以分成三个阶段即幼年、成年和老年,证明了这个系统是持续生存的,在适当条件下,获得了这个系统周期解的全局渐近稳定性的充分条件. The nonautonomous stage-structured single-species dynamics system is established in which the individual members of the population have a life history of three stages,immature,mature and old.It is shown that the system is permanent under some appropriate conditions,sufficient conditions are obtained for the global stability of periodic solution of this population dynamical system.
出处 《海南师范学院学报(自然科学版)》 2004年第3期207-213,共7页 Journal of Hainan Normal University:Natural Science
基金 国家自然科学基金资助项目(10371006) 海南自然科学基金资助项目(80201)
关键词 动力系统 全局渐近稳定 三个年龄结构 dynamics system global asymptotic stability three life stages
  • 相关文献

参考文献12

  • 1Gambell.Birds and Mammals-Antarctic Whales in Antarctica[M].Bonner W N and Walton D W H,eds.New York:Peramon,1985.223-241.
  • 2Landahl H D,Hanson B D.A three stage population model with cannibalism[J],Bull Math Biol,1975,37:11-17.
  • 3Massera.The existence of periodic solution of differential equation[J].Duke Math J,1950,187:457-475.
  • 4Goplsamy K.Stability and Oscillations in Delay Differential Equations of Population Dynamics[M].Dordrecht:Kluwer Academic Publishers,1992.
  • 5Aiello W G,Freedman H I.A time-delay model of single-species growth with stage structure[J].Math Biosci,1990,101:139-153.
  • 6Gui Z.Global stability of a species system with stage-strucure[J].Hainan Normal University,2003,16(3):6-11.
  • 7Aiello W G,Freedman H I,J.Wu.Analysis of a model representing stage-structrued population growth with state-dependent time delay[J].SIAM J Appl Math,1992,52(3):855-869.
  • 8Freedman H I,Gopalsamy K.Global stability in time-delayed single species dynamics[J].Bull Math Biol,1986,48:485-492.
  • 9Rosen G.Time delays produced by essential nonlinearity in population growth models[J].Bull Math Biol,1987,49:253-255.
  • 10Song X,Chen L.Modelling and analysis of a single species system with stage structure and harvesting[J].Mathl Comput Modelling,2002,36(1/2):67-82.

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