Traveling curved fronts of bistable Lotka-Volterra competition-diffusion systems in R3

Meiling Cao; Weijie Sheng

doi:10.1016/j.camwa.2016.02.003

Traveling curved fronts of bistable Lotka-Volterra competition-diffusion systems in R³

Meiling Cao
, Weijie Sheng^*

^*Corresponding author for this work

School of Mathematics

Lanzhou University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka-Volterra competition-diffusion systems in R³. It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given gε^C∞(^S1) with _{min0≤θ≤2π}g(θ)=0.

Original language	English
Pages (from-to)	1270-1286
Number of pages	17
Journal	Computers and Mathematics with Applications
Volume	71
Issue number	6
DOIs	https://doi.org/10.1016/j.camwa.2016.02.003
State	Published - 1 Mar 2016

Keywords

Bistable
Lotka-Volterra competition-diffusion systems
Traveling curved fronts

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title = "Traveling curved fronts of bistable Lotka-Volterra competition-diffusion systems in R3",

abstract = "This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka-Volterra competition-diffusion systems in R3. It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given gεC∞(S1) with min0≤θ≤2πg(θ)=0.",

keywords = "Bistable, Lotka-Volterra competition-diffusion systems, Traveling curved fronts",

author = "Meiling Cao and Weijie Sheng",

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AU - Cao, Meiling

AU - Sheng, Weijie

PY - 2016/3/1

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N2 - This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka-Volterra competition-diffusion systems in R3. It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given gεC∞(S1) with min0≤θ≤2πg(θ)=0.

AB - This paper is concerned with the existence and other qualitative properties of three-dimensional traveling curved fronts for bistable Lotka-Volterra competition-diffusion systems in R3. It is first shown that there exists a traveling front of convex polyhedral shape to such systems which is asymptotically stable. Then, by taking the limits of such solutions as lateral surfaces go to infinity, one proves the existence as well as the uniqueness of a three-dimensional traveling curved front for any given gεC∞(S1) with min0≤θ≤2πg(θ)=0.

KW - Bistable

KW - Lotka-Volterra competition-diffusion systems

KW - Traveling curved fronts

UR - https://www.scopus.com/pages/publications/85015596085

U2 - 10.1016/j.camwa.2016.02.003

DO - 10.1016/j.camwa.2016.02.003

M3 - 文章

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 6

ER -

Traveling curved fronts of bistable Lotka-Volterra competition-diffusion systems in R³

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Keywords

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