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Asymptotic Spatial Homogeneity in Periodic Quasimonotone Reaction-Diffusion Systems with a First Integral

Mats Gyllenberg, Yi Wang, Jifa Jiang, Asymptotic Spatial Homogeneity in Periodic Quasimonotone Reaction-Diffusion Systems with a First Integral. Nonlinear Analysis 59, 235-244, 2004.

Abstract:

The asymptotic spatial homogeneity of nonnegative solutions to
a tau-periodic quasimonotone reaction-diffusion-type initial-boundary
value problem is established, provided the system possesses a first
integral. The infinite-dimensional dynamical system generated by the
system of PDEs is monotone but not strongly monotone. Results combining
simple monotonicity with infinite dimensionality have not appeared in
the literature. We apply our result to a cooperative Lotka-Volterra
system with spatial diffusion.

BibTeX entry:

@ARTICLE{jGyWaJi04a,
  title = {Asymptotic Spatial Homogeneity in Periodic Quasimonotone Reaction-Diffusion Systems with a First Integral},
  author = {Gyllenberg, Mats and Wang, Yi and Jiang, Jifa},
  journal = {Nonlinear Analysis},
  volume = {59},
  pages = {235-244},
  year = {2004},
}

Belongs to TUCS Research Unit(s): Biomathematics Research Unit (BIOMATH)

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