Spreading dynamics of a discrete Nicholson's blowflies equation with distributed delay (Q6541316)

In this paper, the authors study spreading dynamics for a discrete Nicholson's blowflies model with time convolution kernel. For a general convolution kernel, the model can exhibit travelling wave phenomena in a discrete spatial habitat. In particular, the authors determin the minimal wave speed of travelling waves by deriving the non-existence of travelling waves, and demonstrate that the minimal wave speed can determine the long time behaviour of solutions with compact initial function. Moreover, they prove that all travelling waves are strictly increasing, which implies that the waveforms remain monotone in the propagation process.