| Abstract: |
| In order to investigate the spatial distribution and evolution dynamics of populations exhibiting synchronized reproduction and two stage long-distance dispersal modes, we propose an impulsive integro-differential system with non-local pulse. Firstly, we establish the extinction and persistence dynamics on the bounded domain with Dirichlet boundary of non-local type. Secondly,we derive the existence and characterization of the spreading speed in the whole space as well as the consistency with the minimum wave speed of the traveling waves in the case where the kernels are exponentially bounded. Thirdly, we study the accelerated propagation in the case where the dispersal kernel or pulse kernel is exponentially unbounded. |
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