Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications (Q974361)

The authors develop a monotone iteration approach to prove the existence of monotone traveling wave solutions for reaction-diffusion equation \[ u(t,x)'_t=Du(t,x)_{xx}''+f(u(t,x),(g_1*u)(t,x),\dots, (g_m*u)(t,x)). \] As an application the Nicholson's blowfliers equation with non-monotone birth functions and different kernels are considered. A main contribution of this paper is to get existence of monotone waves in non-monotone system.