Coexistence problem for a prey-predator model with density-dependent diffusion

Kousuke Kuto*, Yoshio Yamada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


We study a prey-predator model with nonlinear diffusions. In a case when the spatial dimension is less than 5, a universal bound for coexistence steady-states is found. By using the bound and the bifurcation theory, we obtain the bounded continuum of coexistence steady-states.

Original languageEnglish
Pages (from-to)e2223-e2232
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number12
Publication statusPublished - 2009 Dec 15
Externally publishedYes


  • A priori estimate
  • Bifurcation
  • Coexistence steady-states
  • Cross-diffusion
  • Nonlinear diffusion of fractional type

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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