Entire solutions for a two-component competition system in a lattice
Guo, Jong-Shenq ; Wu, Chang-Hong
Tohoku Math. J. (2), Tome 62 (2010) no. 1, p. 17-28 / Harvested from Project Euclid
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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.
Publié le : 2010-05-15
Classification:  Lattice dynamical system,  entire solution,  traveling wave front,  wave speed,  34K05,  34A34,  34K60,  34E05 
@article{1270041024,
     author = {Guo, Jong-Shenq and Wu, Chang-Hong},
     title = {Entire solutions for a two-component competition system in a lattice},
     journal = {Tohoku Math. J. (2)},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 17-28},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270041024}
}

Guo, Jong-Shenq; Wu, Chang-Hong. Entire solutions for a two-component competition system in a lattice. Tohoku Math. J. (2), Tome 62 (2010) no. 1, pp.  17-28. http://gdmltest.u-ga.fr/item/1270041024/