Frequency-Locking in a Spatially Extended Predator-Prey Model

The study is concerned with the effect of variable dispersal rates on Turing instability of a spatial Holling–Tanner system. A series of numerical simulations show that the oscillatory Turing pattern can emerge due to period diffusion coefficient. Moreover, we find that when the amplitude is above a threshold, 1:1 frequency-locking oscillation can be obtained. The results show that period diffusion coefficient plays an important role on the pattern formation in the predator-prey system.