Nonlinear Differential Equations and Applications NoDEA

, Volume 3, Issue 4, pp 421–444

Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model

  • Konrad Horst Wilhelm Küfner

DOI: 10.1007/BF01193829

Cite this article as:
Küfner, K.H.W. NoDEA (1996) 3: 421. doi:10.1007/BF01193829


We prove that some conditions are sufficient for regions to be invariant with respect to strongly coupled quasilinear parabolic systems indivergence form. This result can be applied to certain two population systems where we can compute the boundaries of the invariant regions by solving ordinary differential equations. Under simple conditions on the parameters we get bounded invariant regions.

MSC 1991 Classification


Copyright information

© Birkhäuser Verlag 1996

Authors and Affiliations

  • Konrad Horst Wilhelm Küfner
    • 1
  1. 1.Fachgruppe MathematikUniversität BayreuthBayreuthGermany