AN ITERATIVE ESTIMATION FOR DISTURBANCES OF SEMI-WAVEFRONTS TO THE DELAYED FISHER-KPP EQUATION
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Date
2019
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Abstract
We give an iterative method to estimate the disturbance of semi-wavefronts of the equation (u) over dot (t, x) = u '' (t, x) + u(t, x)(1 - u(t - h, x)), x is an element of R, t > 0, where h > 0. As a consequence, we show the exponential stability, with an unbounded weight, of semi- wavefronts with speed c >= 2 v 2 and h > 0. Under the same restriction of c and h, the uniqueness of semi- wavefronts is obtained.
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Semi-wavefront stability, semi-wavefront uniqueness, delay, reaction-diffusion equations