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Zeitschrift für Analysis und ihre Anwendungen


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Volume 33, Issue 4, 2014, pp. 463–480
DOI: 10.4171/ZAA/1523

Published online: 2014-10-15

Stability of Traveling Wave Fronts for Nonlocal Delayed Reaction Diffusion Systems

Guangying Lv[1] and Xiaohuan Wang[2]

(1) Henan University, Kaifeng, China
(2) Henan University, Kaifeng, China

This paper is concerned with the stability of traveling wave fronts for nonlocal delayed reaction diffusion system. The stability of traveling wave front is proved in some exponentially weighted $L^\infty$-spaces, when the difference between initial data and traveling wave front decays exponentially as $x\rightarrow -\infty$,but the initial data can be arbitrary large in other locations. Moreover, the time decay rates are obtained by weighted energy estimates.

Keywords: Stability, nonlocal delayed reaction diffusion system, travelling wave fronts, weighted energy

Lv Guangying, Wang Xiaohuan: Stability of Traveling Wave Fronts for Nonlocal Delayed Reaction Diffusion Systems. Z. Anal. Anwend. 33 (2014), 463-480. doi: 10.4171/ZAA/1523