Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (29): 36-39.DOI: 10.3778/j.issn.1002-8331.2010.29.010

• 研究、探讨 • Previous Articles     Next Articles

Global bifurcation and stability for competition model with protection zone

WANG Hua,LI Yan-ling   

  1. College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:2009-03-23 Revised:2009-05-12 Online:2010-10-11 Published:2010-10-11
  • Contact: WANG Hua

带保护区域的竞争模型的全局分支及稳定性

王 华,李艳玲   

  1. 陕西师范大学 数学与信息科学学院,西安 710062

  • 通讯作者: 王 华

Abstract: Based on the methods of spectral analysis and bifurcation theory,the coexistence state of the competition model with a protection zone is investigated.The bifurcation from the semi-trivial is obtained by treating c and η as bifurcation parameters.Through the use of local and global bifurcation theories,sufficient conditions for the existence of positive solution are derived.Moreover,some stability results of the bifurcation solutions are presented.

摘要: 研究了一类带保护区域的竞争模型的共存态问题,利用分歧理论和谱分析的方法,分别以c、η为分歧参数,讨论了发自半平凡解的局部分支解的存在性,并将其局部分支延拓为整体分支,从而得到正平衡解存在的充分条件;同时判定了局部分支解的稳定性。

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