Spatiotemporal complexity of biological invasion in a space- and time-discrete predator–prey system with the strong Allee effect

摘要: Abstract Understanding dynamical complexity of alien species invasion is an important and timely issue as it believed that identification possible scenarios may result in a more effective invasive management control. To address this issue, mathematical modeling widely recognized convenient theoretical tool often helps to reveal generic tendencies situation when would hardly be otherwise. However, although much attention has been paid spatially continuous models biological invasion, discrete have remained outside the mainstream. Meanwhile, habitat distinctly patchy or even fragmented, then seems most appropriate framework. In paper, we consider space- time-discrete system described by coupled map lattice. The assumed affected strong Allee effect specialist predator. We first stage introduction obtain analytical conditions distinguish between success failure. focus on spatial spread. By means extensive computer simulations, identify main spread (e.g. multiple traveling bands) corresponding structure parameter space. Counter-intuitively, found can invade over whole domain case its local persistence not possible.