Front propagation in a double degenerate equation with delay

Abstract The current article is concerned with the traveling fronts for a class of double degenerate equations delay. We first show that decay algebraically at one end, while those may exponentially or other which depend on wave speed fronts. Based asymptotical behavior, uniqueness and stability are then proved. Of particular interest effect lower order term higher critical speed. mention that, under case, nonlinear reaction less competitive due to appearance degeneracy. This yields depends term, different from nondegenerate case.