期刊文献+

拟线性Lotka-Volterra竞争系统带边界层行波解的稳定性

Stability of Traveling Waves for Some Cross-diffusion Lotka-Volterra Competition Systems
下载PDF
导出
摘要 研究交错扩散竞争系统非临界波速行波解的加权稳定性问题.通过细致的谱分析,证明了每个具有非临界波速的行波解在某适当的指数加权空间中是局部渐近指数稳定的. The stability problem of traveling waves for some cross-diffusion systems in which there are competing species in mathematical ecology is studied. By detailed spectral analysis, each traveling wave solution with non-critical speed is proved to be locally exponentially stable to perturbations in some exponentially weighted spaces.
作者 赵烨
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第1期7-10,共4页 Journal of Inner Mongolia University:Natural Science Edition
基金 国家自然科学基金(10271082 10671131) 北京自然科学基金(1052003) 北京石油化工学院青年基金资助项目-非线性发展方程组行波解的存在性和稳定性研究
关键词 行波 渐近稳定 谱分析 traveling wave asymptotic stability spectral analysis
  • 相关文献

参考文献5

  • 1Alexander J,Gardner R A,Jones C K R T. A topological invariant arising in the stability analysis of traveling waves[J]. J. Die Reine Angezoandte Math,1990,410:167-212.
  • 2Gardner R A,Jones C K R T. Stability of traveling wave solutions of diffusion predator-prey system [J]. Trans. Am. Soc,1991,327:465-524.
  • 3Yaping wu ,Xuezhi zhao. The existence and stability of traveling waves with transition layers for some singular cross-dlffusion systems [J]. Physica D, 2005,200:325- 358.
  • 4Szmolyan P. Transversal heteroclinic and homoclinic orbits in singular perturbation problems[J].J. differential Eqs, 1991,92 : 252- 281.
  • 5Henry D. Geometric theory of semilinear parabolic equations [M]. Lecture Notes in Mathematics, 840, Springer- Verlag, New York, 1981.

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