Abstract
The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in ℝ2. We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior. Then, by employing the comparison principle and upper and lower solutions technique, we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation. We also obtain some similar results in ℝ.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1185-1194 |
| Number of pages | 10 |
| Journal | Science China Mathematics |
| Volume | 53 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2010 |
Fingerprint
Keywords
- Comparison principle
- Discrete-time integral recursion
- Monostable wave
- Stability
- Upper and lower solutions
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Asymptotic stability of monostable wavefronts in discrete-time integral recursions. / Lin, Guo; Li, Wan Tong; Ruan, Shigui.
In: Science China Mathematics, Vol. 53, No. 5, 05.2010, p. 1185-1194.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Asymptotic stability of monostable wavefronts in discrete-time integral recursions
AU - Lin, Guo
AU - Li, Wan Tong
AU - Ruan, Shigui
PY - 2010/5
Y1 - 2010/5
N2 - The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in ℝ2. We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior. Then, by employing the comparison principle and upper and lower solutions technique, we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation. We also obtain some similar results in ℝ.
AB - The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in ℝ2. We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior. Then, by employing the comparison principle and upper and lower solutions technique, we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation. We also obtain some similar results in ℝ.
KW - Comparison principle
KW - Discrete-time integral recursion
KW - Monostable wave
KW - Stability
KW - Upper and lower solutions
UR - http://www.scopus.com/inward/record.url?scp=77952862064&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77952862064&partnerID=8YFLogxK
U2 - 10.1007/s11425-009-0123-6
DO - 10.1007/s11425-009-0123-6
M3 - Article
AN - SCOPUS:77952862064
VL - 53
SP - 1185
EP - 1194
JO - Science China Mathematics
JF - Science China Mathematics
SN - 1674-7283
IS - 5
ER -