Stability of traveling wave fronts for nonlocal delayed reaction diffusion systems (Q471866)

Summary: 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 \(x\to -\infty\), but the initial data can be arbitrary large in other locations. Moreover, the time decay rates are obtained by weighted energy estimates.