Nonplanar Wave of Two-Species Competition Model
Date Issued
2012
Date
2012
Author(s)
Liao, Wei-Hung
Abstract
This paper is concerned with existence and stability of traveling curved fronts for the Lotka-Voterra system in the two-dimensional space. Using the supersolution and the subsolution, we construct a traveling wave, and show that it is the unique traveling wave solution. Our supersolution can be taken arbitrarily large, which implies global asymptotic stability for the traveling wave.
Subjects
two-pecies
competition model
nonplanar
Type
thesis
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ntu-101-R99221012-1.pdf
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