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.
Citation
Jong-Shenq Guo. Chang-Hong Wu. "Entire solutions for a two-component competition system in a lattice." Tohoku Math. J. (2) 62 (1) 17 - 28, 2010. https://doi.org/10.2748/tmj/1270041024
Information