期刊文献+

一类两种群竞争趋化模型解的有界性

Boundedness of solutions in two-species competitive chemotaxis model
下载PDF
导出
摘要 研究了一类完全抛物型的含两竞争种群和一趋化物的Keller-Segel模型的非负解。在一些适当条件下,对充分光滑的初始条件,利用Moser型迭代可证得该模型存在唯一整体古典解,且有界。 This paper deals with nonnegative solutions of a two competitive species and one chemoattractant fully parabolic Keller-Segel model. Under some suitable conditions, for all sufficiently smooth initial data, it is proven that this model possesses boundedness, global in time existence and uniqueness of classical solution,by means of a Moser-type iteration.
出处 《计算机工程与应用》 CSCD 北大核心 2015年第24期18-26,共9页 Computer Engineering and Applications
基金 国家自然科学基金(No.11361055) 甘肃省自然科学基金(No.145RJZA033) 甘肃省高等学校科研项目(No.2015A-093)
关键词 Keller-Segel模型 竞争 整体存在性 有界性 Keller-Segel model competition global existence boundedness
  • 相关文献

参考文献25

  • 1Keller E F,Segel L A.Initiation of slime mold aggregation viewed as an instability[J].J Theoret Biol,1970,26(3):399-415.
  • 2Keller E F,Segel L A.Model for chemotaxis[J].J Theoret Biol,1971,30(2):225-234.
  • 3Horstmann D.From 1970 until present:the Keller-Segel model in chemotaxis and its consequences[J].I Jahresberichte DMV,2003,105(3):103-165.
  • 4Horstmann D.From 1970 until present:the Keller-Segel model in chemotaxis and its consequences[J].II Jahresberichte DMV,2004,106(2):51-69.
  • 5Hillen T,Painter K J.A user’s guide to PDE models for chemotaxis[J].J Math Biol,2009,58(1/2):183-217.
  • 6Tello J T,Winkler M.A chemotaxis system with logistic source[J].Comm Partial Differential Equations,2007,32(6):849-877.
  • 7Winkler M.Chemotaxis with logistic source:very weak global solutions and their boundedness properties[J].J Math Anal Appl,2008,348(2):708-729.
  • 8Winkler M.Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source[J].Comm Partial Differential Equations,2010,35(8):1516-1537.
  • 9Mu Chunlai,Wang Liangchen,Zheng Pan,et al.Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system[J].Nonlinear Anal Real World Appl,2013,14(3):1634-1642.
  • 10Tao Youshan,Winkler M.Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity[J].J Differential Equations,2012,252(1):692-715.

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