Tohoku Mathematical Journal
2010
March
SECOND SERIES VOL. 62, NO. 1

Tohoku Math. J.
62 (2010), 17-28

Title ENTIRE SOLUTIONS FOR A TWO-COMPONENT COMPETITION SYSTEM IN A LATTICE

Author Jong-Shenq Guo and Chang-Hong Wu

(Received April 24, 2009, revised September 14, 2009)
Abstract. We study entire solutions of a two-component competition system with Lotka-Volterra type nonlinearity in a lattice. It is known that this system has traveling wave front solutions and enjoys comparison principle. Based on these solutions, we construct some new entire solutions which behave as two traveling wave fronts moving towards each other from both sides of $x$-axis.

2000 Mathematics Subject Classification. Primary 34K05; Secondary 34A34, 34K60, 34E05.

To the top of this page

Back to the Contents