Paper Info
Title
Pulsating traveling fronts and entire solutions in a discrete periodic system with a quiescent stage
Abstract
In this paper, we study pulsating traveling fronts and entire solutions for a spatially discrete periodic reaction-diffusion system with a quiescent stage. Here, the entire solutions are defined in the whole space and for all time t∈R. Under the monostable assumption, the existence and asymptotic behavior of pulsating traveling fronts and spatially periodic solutions connecting two periodic steady states are first established. Combining the leftward and rightward pulsating traveling fronts with different speeds and a spatially periodic solution, the existence and qualitative properties of entire solutions are then proved. Finally, some numerical simulations are carried out to confirm the theoretical results. © 2013 Elsevier B.V.
Year
DOI
Venue
2013
10.1016/j.cnsns.2012.12.033
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Pulsating traveling front,Spatially periodic solution,Entire solution,Quiescent stage
Journal
18
Issue
ISSN
Citations 
8
1007-5704
0
PageRank 
References 
Authors
0.34
2
3
Name
Order
Citations
PageRank
Hai-Qin Zhao100.68
Shi-liang Wu29015.82
Sanyang Liu361051.41