All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Volume 5, Number 1, 2015, Pages 64-76                                                                DOI:10.11948/2015006
Traveling wavefronts of a delayed lattice reaction-diffusion model
Li Shu,Peixuan Weng,Yanling Tian
Keywords:Pioneer-climax model, lattice differential system, harmless delay, traveling wave solution, minimal wave speed.
      We investigate a system of delayed lattice differential system which is a model of pioneer-climax species distributed on one dimensional discrete space. We show that there exists a constant $c^*>0$, such that the model has traveling wave solutions connecting a boundary equilibrium to a co-existence equilibrium for $c\geq c^*$. We also argue that $c^*$ is the minimal wave speed and the delay is harmless. The Schauder's fixed point theorem combining with upper-lower solution technique is used for showing the existence of wave solution.
PDF      Download reader