Nonlinear stability of traveling wavefronts for competitive-cooperative Lotka–Volterra systems of three species

Zhaohai Ma, Xin Wu and Rong Yuan

Applied Mathematics and Computation, 2017, vol. 315, issue C, 331-346

Abstract: This paper is concerned with nonlinear stability of traveling wavefronts for competitive-cooperative Lotka–Volterra systems of three species. It is proved that all traveling wavefronts with speed c > c* are exponentially stable in L∞ space by the weighted energy method and comparison principle. Moreover, the time decay rates are obtained by weighted energy estimates.

Keywords: Matrix equation; Stability; Competitive-cooperative system; Traveling waves; Weighted energy method (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:315:y:2017:i:c:p:331-346

DOI: 10.1016/j.amc.2017.07.068

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