Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (4): 384-388.

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The Bifurcation Analysis and Stability of Steady-State Solutions for the System with Cross-Diffusion Effects

Fu Yiping, Zhou Li   

  1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074
  • Received:1996-11-20 Revised:1997-04-24 Online:1998-12-26 Published:1998-12-26

Abstract: In this paper a system with cross-diffusion effects is investigated. The existence of the nontrivial positive stationary solutions coming from the trivial solution is proved by the Lia-punov-Schmidt procedure. Moreover,a condition for the stability of the bifurcation solutions is obtained by spectral analysis.

Key words: Cross diffusion system, Bifurcation, Steady state

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