Abstract
Travelling waves are natural phenomena ubiquitously for reaction-diffusion systems in many scientific areas, such as in biophysics, population genetics, mathematical ecology, chemistry, chemical physics, and so on. It is pretty well understood for a diffusing Lotka-Volterra system that there exist travelling wave solutions which propagate from an equilibrium point to another one. In this paper, we prove there exists, at least, a wave front-the monotone travelling wave-with its minimal speed. © 2003 Elsevier Science Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 503-524 |
| Number of pages | 22 |
| Journal | Nonlinear Analysis: Real World Applications |
| Volume | 4 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sep 2003 |
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Keywords
- Minimal speed
- Shooting argument
- Travelling waves
Cite this
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Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system. / Fei, Ning; Carr, Jack.
In: Nonlinear Analysis: Real World Applications, Vol. 4, No. 3, 09.2003, p. 503-524.Research output: Contribution to journal › Article
TY - JOUR
T1 - Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system
AU - Fei, Ning
AU - Carr, Jack
PY - 2003/9
Y1 - 2003/9
N2 - Travelling waves are natural phenomena ubiquitously for reaction-diffusion systems in many scientific areas, such as in biophysics, population genetics, mathematical ecology, chemistry, chemical physics, and so on. It is pretty well understood for a diffusing Lotka-Volterra system that there exist travelling wave solutions which propagate from an equilibrium point to another one. In this paper, we prove there exists, at least, a wave front-the monotone travelling wave-with its minimal speed. © 2003 Elsevier Science Ltd. All rights reserved.
AB - Travelling waves are natural phenomena ubiquitously for reaction-diffusion systems in many scientific areas, such as in biophysics, population genetics, mathematical ecology, chemistry, chemical physics, and so on. It is pretty well understood for a diffusing Lotka-Volterra system that there exist travelling wave solutions which propagate from an equilibrium point to another one. In this paper, we prove there exists, at least, a wave front-the monotone travelling wave-with its minimal speed. © 2003 Elsevier Science Ltd. All rights reserved.
KW - Minimal speed
KW - Shooting argument
KW - Travelling waves
UR - http://www.scopus.com/inward/record.url?scp=0037412059&partnerID=8YFLogxK
U2 - 10.1016/S1468-1218(02)00077-9
DO - 10.1016/S1468-1218(02)00077-9
M3 - Article
VL - 4
SP - 503
EP - 524
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
SN - 1468-1218
IS - 3
ER -