✦ LIBER ✦

Asymptotic spatial homogeneity in periodic quasimonotone reaction–diffusion systems with a first integral

✍ Scribed by Mats Gyllenberg; Yi Wang; Jifa Jiang

Book ID: 104064460
Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 207 KB
Volume: 59
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2004.07.012

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✦ Synopsis

The asymptotic spatial homogeneity of nonnegative solutions to a -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.

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