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

一类具有年龄结构的食物链扩散模型的稳定性 被引量：1

The Stability of a Diffusive Predator-prey Model with Stage-structure
下载PDF
导出
摘要 讨论了一类具有年龄结构的食物链扩散模型在齐次Neumann边界条件下解的存在唯一性和一致有界性,并用线性化方法和Lyapunov函数方法分别证明了该模型正平衡点的局部和全局渐近稳定性. In this paper, the global existence, uniqueness and uniform bound of positive solutions to a food chain reaction-diffusion system with stage-structure are proved under homogeneous Neumann boundary conditions. The local asymptotical stability and global asymptotical stability are proved by linearization and Lyapunov functions respectively.
作者 陈梅艳 张睿 孙军芳
机构地区 兰州交通大学数理与软件工程学院
出处 《温州大学学报（自然科学版）》 2008年第4期6-10,共5页 Journal of Wenzhou University(Natural Science Edition)
基金 甘肃省教育厅科研项目(0704-14)
关键词 食物链 年龄结构 反应扩散 局部渐近稳定性 全局渐近稳定性 Predator-prey Stage-structure Reaction-diffusion Local asymptotical stability Global asymptotical stability
分类号 O175.26 [理学—基础数学]
  • 相关文献

参考文献10

  • 1[1]Zhang X,Chen L S,Neamann A U.the Stage-structured Predator-prey Model and Optimal Harvesting Policy[J].Math Biosci,2000,168:201-210.
  • 2许飞,侯燕,林支桂.带时滞的具有阶段结构的捕食抛物型方程组[J].数学学报（中文版）,2005,48(6):1121-1130. 被引量：11
  • 3[3]Xu R.A Reaction-diffusion Predator-prey Model with Stage Structure and Nonlocal Delay[J].Math Appl Comput,2006,175(2):984-1006.
  • 4马知恩.种群生态学的数学模型与研究[M].合肥：安徽教育出版社,1994..
  • 5[5]Zhang S,Chen L.Chaos in Three Species Food Chain System with Impulsive Perturbations[J].Chaos,Solitons and Fractals,2005,24:73-83.
  • 6[6]Brauer E Soudack A C.Coexistence Properties of Some Predator-prey Systems under Constant Rate Harvesting and Stocking.[J] J Math Biol,1981,12:101-114.
  • 7[7]Brauer E Soudack A C.Constant-rate Stocking of Predator-prey Systems[J].J Math Biol,1981,11:1-14.
  • 8[8]Pao C V.Nonlinear Parabolic and Elliptic Equations[M].New York:Prenum,1992:132-135.
  • 9[9]Henry D,Geometric Theory of Semilinear Parabolic Equations[M].Berlin,New York:Springer,1981:111-113.
  • 10[11]Brown K J,Duune P C,Gardner R A.A Semilinear Parabolic System Arising in the Theory of Superconductivity[J].J Diff Eqs,1981,40:232-252.

二级参考文献16

  • 1Pao C. V., Convergence of solutions of reaction-diffusion systems with time delays, Nonlinear Analysis, 2002,48: 349-362.
  • 2Hofbauer J., Sigmund K., The theory of evolution and dynamical systems, Cambridge: Cambridge University Press, 1988.
  • 3May R. M., Stability and complexity in Model ecosystems, Princeton: Princeton Univ. Press, 1974.
  • 4Teng Z. D., Permance and stability of Lotka-Volterra type N-species competitive system, Acta Mathematica Sinica, Chinese Series, 2002, 45(5): 905-918.
  • 5Alello W. G., Freedman H. I., A time-delay model of single species growth with stage tructure, Math. Biosci.,1990, 101:139 153.
  • 6Freedmann H. I., Wu J. H., Persistence and global asymptotic stability of single species dispersal models with stage structure, Quart. Appl. Math., 1991, 2: 351-371.
  • 7Gurney W. S. C., Nisbet R. M., Fluctuating periodicity, generation separation, and the expression of larval competition, Theor. Pop. Biol., 1985, 28: 150-180.
  • 8Liu S. Q., Chen L. S., Luo G. L. and Jiang Y. L., Asymptotic behaviors of competive Lotka-Volterra system with stage structure, J. Math. Anal. Appl., 2002, 271: 124-138.
  • 9Ou L. M., Luo G. L., Yang Y. L., and Li Y. P., The asymptotic behaviors of a stage-structured autonomous predator-prey system with time delay, J. Math. Anal. Appl., 2003, 283: 534-548.
  • 10Okubo A., Diffusion and ecological problems: mathematical models, Berlin, New York: Springer-Verlag, 1980.

共引文献11

同被引文献6

引证文献1

二级引证文献1

温州大学学报（自然科学版）
2008年 第4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