Pattern formation in a cross-diffusion system

Yuan Lou, Wei Ming Ni, Shoji Yotsutani

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


In this paper we study the Shigesada-Kawasaki-Teramoto model [17] for two competing species with cross-diffusion. We prove the existence of spectrally stable non-constant positive steady states for high-dimensional domains when one of the cross-diffusion coefficients is sufficiently large while the other is equal to zero.

Original languageEnglish (US)
Pages (from-to)1589-1607
Number of pages19
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue number4
StatePublished - Apr 1 2015


  • Competition
  • Density-dependent diffusion
  • Existence
  • Stability
  • Steady states

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