| Abstract: |
| In this talk, the propagation dynamics for a class of time-period SIAR system with nonlocal dispersal and delay are discussed. Firstly, the existence of asymptotic spreading speed is formed by the priori estimates, Arzela-Ascoli theorem, auxiliary systems and the uniform persistence idea for dynamical systems. Second, the existence of periodic traveling waves is established with the help of the non-compactness Kuratowski measure theory and the asymptotic fixed point theorem. Finally, the non-existence of periodic traveling waves is also obtained by a contradictory argument and analysis method. |
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