Stability of planar waves in a Lotka–Volterra system

Xiaohuan Wang

Applied Mathematics and Computation, 2015, vol. 259, issue C, 313-326

Abstract: This paper is concerned with the large time behavior of disturbed planar fronts in the Lotka–Volterra system in Rn(n⩾2). We first show that the large time behavior of the disturbed fronts can be approximated by that of the mean curvature flow with a drift term for all large time up to t=+∞. And then we prove that the planar front is asymptotically stable in L∞(Rn) under ergodic perturbations, which include quasi-periodic and almost periodic ones as special cases.

Keywords: Planar wave; ω-Limit set; Stability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:313-326

DOI: 10.1016/j.amc.2015.02.051

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