2018/06/11 by D Rafael Benguria, D., Rafael Benguria, Abraham Solar +1
Medicine · Engineering · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #Stability and Controllability of Differential Equations #Mathematical Biology Tumor Growth
paper · pdf · doi:10.48550/arxiv.1806.04255
We give an iterative method to estimate the disturbance of semi-wavefronts of the equation: u(t,x) = u''(t,x) +u(t,x)(1-u(t-h,x)), x ∈ 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√(2) and h>0. Under the same restriction of c and h, the uniqueness of semi-wavefronts is obtained.