期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

具有非线性种内制约关系和分布时滞竞争模型的稳定性 被引量：2

Stability in Two-species Competition with Distributed Delays and Nonlinear intraspecific Regulation
原文传递
导出
摘要 构造并研究了一类具有分布时滞和非线性种内制约关系的竞争模型.得到了这类模型的边界平衡点和共存平衡点全局渐近稳定的条件,以及分布时滞、非线性种内制约关系对模型的影响. In this paper,the stage structured competition models with nonlinear intraspecific regulation represented by distributed types of delays are proposed and considered.And sharp global stability criteria are established for the coexistence equilibrium as well as the extinction equilibrium.Effects of stage structure with distributed types of delays and nonlinear intraspecific regulation on behaviors of species are discussed.
作者 谢溪庄 刘胜强
机构地区 华侨大学数学科学学院 哈尔滨工业大学理学研究中心
出处 《生物数学学报》 CSCD 北大核心 2011年第3期469-482,共14页 Journal of Biomathematics
基金 国务院侨办科研基金资助项目(09QZR10)
关键词 分布时滞 非线性种内制约关系 全局渐近稳定 Distributed delay Nonlinear intraspecific Regulation Global stability
分类号 O175.13 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Aiello W G, Freedman H I. A time-delay model of single species growth with stage structure[J]. Math.Biosci, 1990, 101:139-153.
  • 2Al-omari J F M, Gourley S A. Stability and traveling fronts in Lotka-Volterra competition models with stage structure[J]. SIAM J.Appl.Math, 2003, 63:2063 2086.
  • 3Gilpin M, Ayala F. Global Models of Growth and Competition[J]. Proc. Nat. Acad. Sci. USA, 1973, 70: 3590-3593.
  • 4Gourley S A, Kuang Y. A Stage Structured Predator-Prey model and its Dependence on Through-Stage Delay and Death Rate[J]. J. Math. Biol, 2004, 49, 188 200.
  • 5Liu S, Chen L, Luo G, et al. Asymptotic behavior of competitive Lotka-Volterra system with stage structure[J]. J.Math.Anal.Appl, 2002, 271: 124-138.
  • 6Liu S, Beretta E. Stage-structured predator-prey model with the Beddington-DeAngelis functional response[J]. SIAM J.Appl.Math, 2006, 66: 1101-1129.
  • 7Liu S, Beretta E. Competitive systems With stage structure of distributed-delay type[J]. J. Math.Anal.Appl, 2006, 323:331-343.
  • 8杨正清.两种群相互作用模型的全局渐近稳定性[J].生物数学学报,1994,9(3):33-36. 被引量：4
  • 9周冬明,曹进德.一类具有连续分布时滞模型的稳定性[J].生物数学学报,1998,13(3):292-295. 被引量：4

二级参考文献3

共引文献6

同被引文献14

  • 1庞常词,韦忠礼.带两个参数四阶边值问题的正解与多解性[J].数学学报（中文版）,2006,49(3):625-632. 被引量：7
  • 2Li Yong Xiang. Positive solutions of fourth-order boundary value problems with two parameters[J]. Mathe- matical Analysis and Applications, 2003, 281(2):477-484.
  • 3Li Fu Yi, Li Yu Hua, Liang Zhan Ping. Existence of solutions to nonlinear Hammerstein integral equations and applications[J]. Mathematical Analysis and Applications, 2006, 323(1):209-227.
  • 4Liu Xi Lan, Li Wan Tong. Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters[J]. Mathematical and Computer Modelling, 2007, 46(2):525-534.
  • 5Yang Yang, Zhang Jin Hui. Existence of solutions for some fourth-order boundary value problems with parameters[J]. Nonlinear Analysis, 2008, 69(4):1364-1375.
  • 6Cui Ya Qiong. Multiple solutions to fourth-order boundary value problems[J]. Computers and Mathematics with Applications, 2009, 57(4):643-649.
  • 7Han Zhi Qing. Computation of critical groups and applications to some differential equation at resonance[J]. Nonlinear Analysis, 2007, 67(6):184:1860.
  • 8Chang Kung Ching. Infinite Dimensional Morse Theory and Multiple Solution Problems[M]. Boston: Birkh:user, 1993.
  • 9Ru Y, An Y. Positive solutions for 2p-order and 2q-order nonlinear ordinary differential systems[J]. Math Anal Appl, 2006, 324(2):1093-1104.
  • 10Li Fu Yi, Li Yu Hua, Liang Zhan Ping. Existence of solutions to nonlinear Hammerstein integral equations and applications[J]. Math Anal Appl, 2006, 323(1):209-227.

引证文献2

生物数学学报
2011年 第3期

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