| Abstract: |
| In this talk, I will concerned with the spatial spreading speeds and traveling wave solutions of cooperative systems in space-time periodic habitats with nonlocal dispersal. First, we will introduce some principal eigenvalue theory for space-time periodic linear cooperative systems with nonlocal dispersal. Then this cooperative system has a finite spreading speed interval, and the system aslo has a single spreading speed under certain condition. Next, we show the existence of space-time periodic traveling wave solutions for this system. Finally, we apply the above results to nonlocal monostable equations and two-species competitive systems with nonlocal dispersal and space-time periodicity.This is a joint work with W. Shen and Z. Shen. |
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